MathsGee Open Question and Answer Bank - Recent questions tagged solve
https://mathsgee.com/qna/tag/solve
Powered by Question2AnswerWhat is the difference between linear growth and exponential growth?
https://mathsgee.com/qna/12186/what-is-the-difference-between-linear-growth-and-exponential-growth
What is the difference between linear growth and exponential growth?Statistics Questionshttps://mathsgee.com/qna/12186/what-is-the-difference-between-linear-growth-and-exponential-growthWed, 27 May 2020 01:35:42 +0000SOlve for $x$ and $y$ if $x+yi=(3+5i)(2-7i)$
https://mathsgee.com/qna/11913/solve-for-x-and-y-if-x-yi-3-5i-2-7i
SOlve for $x$ and $y$ if $x+yi=(3+5i)(2-7i)$Grade 12 Technical Mathshttps://mathsgee.com/qna/11913/solve-for-x-and-y-if-x-yi-3-5i-2-7iSun, 24 May 2020 06:11:55 +0000Solve for $x$ in $\log(x-18)-\log{x}=1$
https://mathsgee.com/qna/11911/solve-for-x-in-log-x-18-log-x-1
Solve for $x$ in $\log(x-18)-\log{x}=1$Grade 12 Technical Mathshttps://mathsgee.com/qna/11911/solve-for-x-in-log-x-18-log-x-1Sun, 24 May 2020 06:09:48 +0000Solve algebraically for m and t simultaneously if $m-t-1=0$ and $m^2+t^2=5$
https://mathsgee.com/qna/11903/solve-algebraically-for-m-and-t-simultaneously-if-m-t-1-0-and-m-2-t-2-5
Solve algebraically for m and t simultaneously if $m-t-1=0$ and $m^2+t^2=5$Grade 12 Technical Mathshttps://mathsgee.com/qna/11903/solve-algebraically-for-m-and-t-simultaneously-if-m-t-1-0-and-m-2-t-2-5Sun, 24 May 2020 05:50:42 +0000Solve for $x$ if $5x^2 = 2 + x$
https://mathsgee.com/qna/11902/solve-for-x-if-5x-2-2-x
Solve for $x$ if $5x^2 = 2 + x$Grade 12 Technical Mathshttps://mathsgee.com/qna/11902/solve-for-x-if-5x-2-2-xSun, 24 May 2020 05:43:42 +0000Who can help me solve $2x^4+3x^3-x^2+4x-8=0$?
https://mathsgee.com/qna/11554/who-can-help-me-solve-2x-4-3x-3-x-2-4x-8-0
Who can help me solve $2x^4+3x^3-x^2+4x-8=0$?General College Mathshttps://mathsgee.com/qna/11554/who-can-help-me-solve-2x-4-3x-3-x-2-4x-8-0Wed, 20 May 2020 15:50:04 +0000Solve the equation $3\sin{2(x-20)}+2=0$
https://mathsgee.com/qna/10859/solve-the-equation-3-sin-2-x-20-2-0
Solve the equation $3\sin{2(x-20)}+2=0$Grade 10 Mathshttps://mathsgee.com/qna/10859/solve-the-equation-3-sin-2-x-20-2-0Sat, 16 May 2020 22:24:10 +0000Solve the equation $x+3=5$
https://mathsgee.com/qna/10552/solve-the-equation-x-3-5
Solve the equation $x+3=5$BNU1501https://mathsgee.com/qna/10552/solve-the-equation-x-3-5Wed, 13 May 2020 02:20:51 +0000Solve: Three times a number minus six is equal to 24
https://mathsgee.com/qna/10539/solve-three-times-a-number-minus-six-is-equal-to-24
Solve: Three times a number minus six is equal to 24BNU1501https://mathsgee.com/qna/10539/solve-three-times-a-number-minus-six-is-equal-to-24Wed, 13 May 2020 02:11:23 +0000Subtract x from a.
https://mathsgee.com/qna/10537/subtract-x-from-a
Subtract x from a.BNU1501https://mathsgee.com/qna/10537/subtract-x-from-aWed, 13 May 2020 02:09:53 +0000Draw the graphical representation of the following inequalities $$x-y >2\\ x+2y\geq -2$$
https://mathsgee.com/qna/10512/draw-the-graphical-representation-of-the-following-inequalities-x-y-2-x-2y-geq-2
Draw the graphical representation of the following inequalities $$x-y >2\\ x+2y\geq -2$$QMI1500https://mathsgee.com/qna/10512/draw-the-graphical-representation-of-the-following-inequalities-x-y-2-x-2y-geq-2Wed, 13 May 2020 01:44:14 +0000Derive the system of inequalities that shows the number of hours he can spend on research and teaching.
https://mathsgee.com/qna/10511/derive-the-system-of-inequalities-that-shows-the-number-of-hours-he-can-spend-on-research-and-teaching
A tutor at a college is required to do teaching and research for at most 40 hours per week. His research work pays R30 per hour and teaching pays R70 per hour. The tutor needs at least R2000 per week for his own studies.<br />
<br />
Let x be the number of hours he spent for research per week. Let y be the number of hours he spent for teaching per week.<br />
<br />
Derive the system of inequalities that shows the number of hours he can spend on research and teaching.QMI1500https://mathsgee.com/qna/10511/derive-the-system-of-inequalities-that-shows-the-number-of-hours-he-can-spend-on-research-and-teachingWed, 13 May 2020 01:42:59 +0000FInf $r$ if $\sqrt{4r+3}-2=3$
https://mathsgee.com/qna/10503/finf-r-if-sqrt-4r-3-2-3
FInf $r$ if $\sqrt{4r+3}-2=3$QMI1500https://mathsgee.com/qna/10503/finf-r-if-sqrt-4r-3-2-3Wed, 13 May 2020 01:32:47 +0000Solve for x in the following equation $\dfrac{3x-2}{4} -\dfrac{1}{4}=\dfrac{1-5x}{2}$
https://mathsgee.com/qna/10502/solve-for-x-in-the-following-equation-dfrac-3x-2-4-dfrac-1-4-dfrac-1-5x-2
Solve for x in the following equation $\dfrac{3x-2}{4} -\dfrac{1}{4}=\dfrac{1-5x}{2}$QMI1500https://mathsgee.com/qna/10502/solve-for-x-in-the-following-equation-dfrac-3x-2-4-dfrac-1-4-dfrac-1-5x-2Wed, 13 May 2020 01:31:53 +0000Solve the following system of equations: $$3x-2y=4\\-6x+4y=7$$
https://mathsgee.com/qna/10470/solve-the-following-system-of-equations-3x-2y-4-6x-4y-7
Solve the following system of equations: $$3x-2y=4\\-6x+4y=7$$QMI1500https://mathsgee.com/qna/10470/solve-the-following-system-of-equations-3x-2y-4-6x-4y-7Wed, 13 May 2020 01:09:32 +0000Express $Z=2e^{2-j3}$ in rectangular form.
https://mathsgee.com/qna/10426/express-z-2e-2-j3-in-rectangular-form
Express $Z=2e^{2-j3}$ in rectangular form.MAT1581https://mathsgee.com/qna/10426/express-z-2e-2-j3-in-rectangular-formTue, 12 May 2020 01:33:47 +0000Solve for $x$ and $y$ in $x+yj=\dfrac{(2-j)^2}{3-j}$
https://mathsgee.com/qna/10425/solve-for-x-and-y-in-x-yj-dfrac-2-j-2-3-j
Solve for $x$ and $y$ in $x+yj=\dfrac{(2-j)^2}{3-j}$MAT1581https://mathsgee.com/qna/10425/solve-for-x-and-y-in-x-yj-dfrac-2-j-2-3-jTue, 12 May 2020 01:32:29 +0000The currents in an electrical network are given by the solution of the system below
https://mathsgee.com/qna/10424/the-currents-in-an-electrical-network-are-given-by-the-solution-of-the-system-below
The currents in an electrical network are given by the solution of the system below<br />
<br />
$3(I_1-I_2)+5(I_1-I_3)=1$<br />
<br />
$(I_2-I_3)+7I_2+2((I_2-I_1)=9$<br />
<br />
$(I_3-I_2)+(I_3-I_1)=0$<br />
<br />
where $I_1,I_2, I_3$ are measured in amperes. Use Cramer's rule to solve for $I_1$onlyMAT1581https://mathsgee.com/qna/10424/the-currents-in-an-electrical-network-are-given-by-the-solution-of-the-system-belowTue, 12 May 2020 01:31:24 +0000Find the square root of the complex number $-3-4j$
https://mathsgee.com/qna/10407/find-the-square-root-of-the-complex-number-3-4j
Find the square root of the complex number $-3-4j$MAT1581https://mathsgee.com/qna/10407/find-the-square-root-of-the-complex-number-3-4jTue, 12 May 2020 01:03:06 +0000Solve for $x$ and $y$ in $\sqrt{x+yj} =(2-j3)$
https://mathsgee.com/qna/10406/solve-for-x-and-y-in-sqrt-x-yj-2-j3
Solve for $x$ and $y$ in $\sqrt{x+yj} =(2-j3)$MAT1581https://mathsgee.com/qna/10406/solve-for-x-and-y-in-sqrt-x-yj-2-j3Tue, 12 May 2020 01:02:28 +0000Write the complex number $360^{\circ}$ in exponential form.
https://mathsgee.com/qna/10405/write-the-complex-number-360-circ-in-exponential-form
Write the complex number $360^{\circ}$ in exponential form.MAT1581https://mathsgee.com/qna/10405/write-the-complex-number-360-circ-in-exponential-formTue, 12 May 2020 01:01:12 +0000The currents in an electrical network are given by the solution of the system:
https://mathsgee.com/qna/10404/the-currents-in-an-electrical-network-are-given-by-the-solution-of-the-system
The currents in an electrical network are given by the solution of the system:<br />
<br />
$I_1+I_2+I_3=0$<br />
<br />
$8I_1-10I_3=8$<br />
<br />
$6I_1-3I_2=12$<br />
<br />
where $I_1, I_2, I_3$ are measured in amperes. <br />
<br />
Use Cramer's rule to solve for $I_1$ and then find $I_2$ and $I_3$ by substitution.MAT1581https://mathsgee.com/qna/10404/the-currents-in-an-electrical-network-are-given-by-the-solution-of-the-systemTue, 12 May 2020 00:57:56 +0000Solve for $x$ if $x^2+1=0$. Give the answers in the form $a+bj$
https://mathsgee.com/qna/10393/solve-for-x-if-x-2-1-0-give-the-answers-in-the-form-a-bj
Solve for $x$ if $x^2+1=0$. Give the answers in the form $a+bj$MAT1581https://mathsgee.com/qna/10393/solve-for-x-if-x-2-1-0-give-the-answers-in-the-form-a-bjTue, 12 May 2020 00:35:34 +0000Solve for $x$ in terms of $\pi$ if: $2\sin^{2}x-\cos x - 1=0$ for $0\leq x \leq 2\pi$
https://mathsgee.com/qna/10392/solve-for-x-in-terms-of-pi-if-2-sin-2-x-cos-x-1-0-for-0-leq-x-leq-2-pi
Solve for $x$ in terms of $\pi$ if: $2\sin^{2}x-\cos x - 1=0$ for $0\leq x \leq 2\pi$MAT1581https://mathsgee.com/qna/10392/solve-for-x-in-terms-of-pi-if-2-sin-2-x-cos-x-1-0-for-0-leq-x-leq-2-piTue, 12 May 2020 00:34:18 +0000An alloy is composed of three metals $X,Y,Z$. The percentage of each metal is given by the following set of equations
https://mathsgee.com/qna/10388/an-alloy-is-composed-of-three-metals-x-y-z-the-percentage-of-each-metal-is-given-by-the-following-set-of-equations
An alloy is composed of three metals $X,Y,Z$. The percentage of each metal is given by the following set of equations<br />
<br />
$X+Y+Z=100$<br />
<br />
$X-2Y=0$<br />
<br />
$-4X+Z=0$<br />
<br />
Use Cramer's rule to determine the percentage of metal $X$ in the alloy. Use the percentage of $X$ and the method of substitution to find the percentage of $Y$ present in the alloy.MAT1581https://mathsgee.com/qna/10388/an-alloy-is-composed-of-three-metals-x-y-z-the-percentage-of-each-metal-is-given-by-the-following-set-of-equationsTue, 12 May 2020 00:26:56 +0000Solve for $x$ in $$\begin{vmatrix} 1&0&0\\ x^2& x-2 & 3\\x & x+1 & x\\\end{vmatrix} = 3$$
https://mathsgee.com/qna/10387/solve-for-x-in-begin-vmatrix-100-x-2-x-2-3-x-x-1-x-end-vmatrix-3
Solve for $x$ in $$\begin{vmatrix} 1&0&0\\ x^2& x-2 & 3\\x & x+1 & x\\\end{vmatrix} = 3$$MAT1581https://mathsgee.com/qna/10387/solve-for-x-in-begin-vmatrix-100-x-2-x-2-3-x-x-1-x-end-vmatrix-3Tue, 12 May 2020 00:23:07 +0000Solve for $x$ in $5^x-25=0$
https://mathsgee.com/qna/10386/solve-for-x-in-5-x-25-0
Solve for $x$ in $5^x-25=0$MAT1581https://mathsgee.com/qna/10386/solve-for-x-in-5-x-25-0Tue, 12 May 2020 00:21:01 +0000Solve for $x$ in $\log_{x}(1-x)-\log_{x}6=2$
https://mathsgee.com/qna/10385/solve-for-x-in-log-x-1-x-log-x-6-2
Solve for $x$ in $\log_{x}(1-x)-\log_{x}6=2$MAT1581https://mathsgee.com/qna/10385/solve-for-x-in-log-x-1-x-log-x-6-2Tue, 12 May 2020 00:20:18 +0000Solve for $x$ and $y$ if $$\begin{vmatrix} 1 & 1+2j & 0\\1-j & -1 & -1\\x & 0 & yj\\ \end{vmatrix} = 2j$$
https://mathsgee.com/qna/10366/solve-for-x-and-y-if-begin-vmatrix-1-1-2j-0-1-j-1-1-x-0-yj-end-vmatrix-2j
Solve for $x$ and $y$ if<br />
<br />
$$\begin{vmatrix}<br />
1 & 1+2j & 0\\1-j & -1 & -1\\x & 0 & yj\\<br />
\end{vmatrix} = 2j$$MAT1581https://mathsgee.com/qna/10366/solve-for-x-and-y-if-begin-vmatrix-1-1-2j-0-1-j-1-1-x-0-yj-end-vmatrix-2jMon, 11 May 2020 23:53:15 +0000Determine all complex numbers $z$ which satisfy the equation $z=\sqrt{1-\sqrt{3}j}$ in the form $a+bj$. Find the principal root in exponential form.
https://mathsgee.com/qna/10365/determine-all-complex-numbers-z-which-satisfy-the-equation-z-sqrt-1-sqrt-3-j-in-the-form-a-bj-find-the-principal-root-in-exponential-form
Determine all complex numbers $z$ which satisfy the equation $z=\sqrt{1-\sqrt{3}j}$ in the form $a+bj$. Find the principal root in exponential form.MAT1581https://mathsgee.com/qna/10365/determine-all-complex-numbers-z-which-satisfy-the-equation-z-sqrt-1-sqrt-3-j-in-the-form-a-bj-find-the-principal-root-in-exponential-formMon, 11 May 2020 23:39:30 +0000Use Cramer's rule to solve for only $y$ in the following system of equations
https://mathsgee.com/qna/10363/use-cramers-rule-to-solve-for-only-y-in-the-following-system-of-equations
Use Cramer's rule to solve for only $y$ in the following system of equations<br />
<br />
$x-4y+3z=4$<br />
<br />
$-x+2y-7z=-2$<br />
<br />
$y-z=-1$MAT1581https://mathsgee.com/qna/10363/use-cramers-rule-to-solve-for-only-y-in-the-following-system-of-equationsMon, 11 May 2020 23:36:25 +0000Solve the equation $e^{\ln{4} + \ln{x}} = 1$
https://mathsgee.com/qna/10362/solve-the-equation-e-ln-4-ln-x-1
Solve the equation $e^{\ln{4} + \ln{x}} = 1$MAT1581https://mathsgee.com/qna/10362/solve-the-equation-e-ln-4-ln-x-1Mon, 11 May 2020 23:34:20 +0000Solve the logarithmic equation $\log{(x-3)}=3\log{2}-\log{(x-1)}$
https://mathsgee.com/qna/10360/solve-the-logarithmic-equation-log-x-3-3-log-2-log-x-1
Solve the logarithmic equation $\log{(x-3)}=3\log{2}-\log{(x-1)}$MAT1581https://mathsgee.com/qna/10360/solve-the-logarithmic-equation-log-x-3-3-log-2-log-x-1Mon, 11 May 2020 23:25:54 +0000Solve $x(x - 3) = 88$
https://mathsgee.com/qna/10172/solve-x-x-3-88
Solve $x(x - 3) = 88$Grade 12 Mathshttps://mathsgee.com/qna/10172/solve-x-x-3-88Wed, 06 May 2020 11:08:07 +0000The sum of two numbers is 13. If you subtract them, the difference is 6. What are those numbers?
https://mathsgee.com/qna/10170/the-sum-of-two-numbers-is-13-if-you-subtract-them-the-difference-is-6-what-are-those-numbers
The sum of two numbers is 13. If you subtract them, the difference is 6. What are those numbers?Grade 8 Mathshttps://mathsgee.com/qna/10170/the-sum-of-two-numbers-is-13-if-you-subtract-them-the-difference-is-6-what-are-those-numbersWed, 06 May 2020 06:11:21 +0000Solve this equation $4x+1=2x+9 $
https://mathsgee.com/qna/9764/solve-this-equation-4x-1-2x-9
Solve this equation $4x+1=2x+9 $Grade 11 Mathshttps://mathsgee.com/qna/9764/solve-this-equation-4x-1-2x-9Fri, 01 May 2020 00:52:18 +0000What graph represents the solution set of $|x+1|+|x-1|=2x$?
https://mathsgee.com/qna/9641/what-graph-represents-the-solution-set-of-x-1-x-1-2x
What graph represents the solution set of $|x+1|+|x-1|=2x$?Grade 12 Mathshttps://mathsgee.com/qna/9641/what-graph-represents-the-solution-set-of-x-1-x-1-2xThu, 30 Apr 2020 07:58:44 +0000Solving $\ln x= 4$ yields $x$=
https://mathsgee.com/qna/9639/solving-ln-x-4-yields-x
Solving $\ln x= 4$ yields $x$=Grade 12 Mathshttps://mathsgee.com/qna/9639/solving-ln-x-4-yields-xThu, 30 Apr 2020 07:56:34 +0000What's the intuition behind the equation $1+2+3+⋯=\dfrac{−1}{12}$?
https://mathsgee.com/qna/9637/whats-the-intuition-behind-the-equation-1-2-3-dfrac-1-12
What's the intuition behind the equation $1+2+3+⋯=\dfrac{−1}{12}$?Grade 12 Mathshttps://mathsgee.com/qna/9637/whats-the-intuition-behind-the-equation-1-2-3-dfrac-1-12Thu, 30 Apr 2020 07:52:10 +0000Anybody got a simplified explanation of logarithms?
https://mathsgee.com/qna/9635/anybody-got-a-simplified-explanation-of-logarithms
Anybody got a simplified explanation of logarithms?Grade 12 Mathshttps://mathsgee.com/qna/9635/anybody-got-a-simplified-explanation-of-logarithmsThu, 30 Apr 2020 07:34:16 +0000Solve for a: $\log_{a}\frac{1}{8}= -3$
https://mathsgee.com/qna/9634/solve-for-a-log-a-frac-1-8-3
Solve for a: $\log_{a}\frac{1}{8}= -3$Grade 12 Mathshttps://mathsgee.com/qna/9634/solve-for-a-log-a-frac-1-8-3Thu, 30 Apr 2020 07:33:37 +0000Calculate $ \frac{\log_{a}9 - \log_{b}4}{\log_{a}3 - \log_{b}2}$
https://mathsgee.com/qna/9633/calculate-frac-log-a-9-log-b-4-log-a-3-log-b-2
Calculate $ \dfrac{\log_{a}9 - \log_{b}4}{\log_{a}3 - \log_{b}2}$Grade 12 Mathshttps://mathsgee.com/qna/9633/calculate-frac-log-a-9-log-b-4-log-a-3-log-b-2Thu, 30 Apr 2020 07:32:51 +0000Solve $3\log x -9 =0$
https://mathsgee.com/qna/9631/solve-3-log-x-9-0
Solve $3\log x -9 =0$Grade 12 Mathshttps://mathsgee.com/qna/9631/solve-3-log-x-9-0Thu, 30 Apr 2020 07:31:14 +0000Solve $\log_{2}(x-2) + \log_{2}(x-3) = 1$
https://mathsgee.com/qna/9630/solve-log-2-x-2-log-2-x-3-1
Solve $\log_{2}(x-2) + \log_{2}(x-3) = 1$Grade 12 Mathshttps://mathsgee.com/qna/9630/solve-log-2-x-2-log-2-x-3-1Thu, 30 Apr 2020 07:30:19 +0000Draw a graph of $2y+x−8=0$ and determine the significant characteristics of this linear function.
https://mathsgee.com/qna/9602/draw-a-graph-of-2y-x8-0-and-determine-the-significant-characteristics-of-this-linear-function
Draw a graph of $2y+x−8=0$ and determine the significant characteristics of this linear function.Grade 12 Mathshttps://mathsgee.com/qna/9602/draw-a-graph-of-2y-x8-0-and-determine-the-significant-characteristics-of-this-linear-functionThu, 30 Apr 2020 06:20:27 +0000What is the difference between the functions $y=2^x$$ and $$y=(\frac{1}{2})^x$ ?
https://mathsgee.com/qna/9600/what-is-the-difference-between-the-functions-y-2-x-and-y-frac-1-2-x
What is the difference between the functions $y=2^x$ and $y=(\frac{1}{2})^x$ ?Grade 12 Mathshttps://mathsgee.com/qna/9600/what-is-the-difference-between-the-functions-y-2-x-and-y-frac-1-2-xThu, 30 Apr 2020 06:19:14 +0000How many laws of logarithms are there?
https://mathsgee.com/qna/9593/how-many-laws-of-logarithms-are-there
How many laws of logarithms are there?Grade 12 Mathshttps://mathsgee.com/qna/9593/how-many-laws-of-logarithms-are-thereThu, 30 Apr 2020 06:09:58 +0000What is the the value of $\log_{3} 274$ ?
https://mathsgee.com/qna/9592/what-is-the-the-value-of-log-3-274
What is the the value of $\log_{3} 274$ ?Grade 12 Mathshttps://mathsgee.com/qna/9592/what-is-the-the-value-of-log-3-274Thu, 30 Apr 2020 06:09:21 +0000Solve the trigonometric equation $x^2+3x-\tan{30}=0$
https://mathsgee.com/qna/9567/solve-the-trigonometric-equation-x-2-3x-tan-30-0
Solve the trigonometric equation $x^2+3x-\tan{30}=0$Grade 12 Mathshttps://mathsgee.com/qna/9567/solve-the-trigonometric-equation-x-2-3x-tan-30-0Thu, 30 Apr 2020 05:46:42 +0000Solve the exponential equation Solve $3^{2x-1} = 27$
https://mathsgee.com/qna/9560/solve-the-exponential-equation-solve-3-2x-1-27
Solve the exponential equation Solve $3^{2x-1} = 27$Grade 12 Mathshttps://mathsgee.com/qna/9560/solve-the-exponential-equation-solve-3-2x-1-27Thu, 30 Apr 2020 05:37:41 +0000