# Strengthen Your Systems of Equations Skills

Recent questions in Systems of equations
Elias Hardy 2023-03-23

## How to solve the system of equations $3x+2y=14$ and $y=x+2$ by substitution?

xcopyv4n 2023-02-28

## to solve equations 2x/a+y/b=2 and x/a-y/b=4

Guillermo May 2023-02-04

## There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside of the cage. How many chickens and rabbits are in there?

Taniyah Hartman 2022-12-30

## The system of equations sim, find missing4x+5y=88x +_y=_

n3g2r46z 2022-12-17

## Which of the systems of equations below could not be used to solve the following system for x and y? $\left\{\begin{array}{l}6x+4y=24\\ -2x+4y=-10\end{array}$A. $\left\{\begin{array}{l}6x+4y=24\\ 2x-4y=10\end{array}$B. $\left\{\begin{array}{l}6x+4y=24\\ -4x+8y=-20\end{array}$C. $\left\{\begin{array}{l}18x+12y=72\\ -6x+12y=-30\end{array}$D. $\left\{\begin{array}{l}12x+8y=48\\ -4x+8y=-10\end{array}$

RyszardsJh 2022-12-05

## BPM interacts through the ________ layer.A data accessB presentationC both of optionsD none of the above

Jamir Summers 2022-12-05

## To solve a system of equations, you need use substitution. $y=3x-2,y=2x-5$

Brenda Leach 2022-11-30

## The opposite of squaring a number is division. False or True

VarceprewN3M 2022-11-28

## Use back substitution to solve each of the following systems of equations:a) ${x}_{1}-3{x}_{2}=2\phantom{\rule{0ex}{0ex}}2{x}^{2}=6$b) ${x}_{1}+{x}_{2}+{x}_{3}=8\phantom{\rule{0ex}{0ex}}2{x}_{2}+{x}_{3}=5\phantom{\rule{0ex}{0ex}}3{x}_{3}=9$c) ${x}_{1}+2{x}_{2}+2{x}_{3}+{x}_{4}=5\phantom{\rule{0ex}{0ex}}3{x}_{2}+{x}_{3}-2{x}_{4}=1\phantom{\rule{0ex}{0ex}}-{x}_{3}+2{x}_{4}=-1\phantom{\rule{0ex}{0ex}}4{x}_{4}=4$d) ${x}_{1}+{x}_{2}+{x}_{3}+{x}_{4}+{x}_{5}=5\phantom{\rule{0ex}{0ex}}2{x}_{2}+{x}_{3}-2{x}_{4}+{x}_{5}=1\phantom{\rule{0ex}{0ex}}4{x}_{3}+{x}_{4}-2{x}_{5}=1\phantom{\rule{0ex}{0ex}}{x}_{4}-3{x}_{5}=0\phantom{\rule{0ex}{0ex}}2{x}_{5}=2$Write out the coefficient matrix for each of the systems in first exercise.

Cecilia Wilson 2022-11-25

## We have the equation y - 3x = -2Select true or falseThe system of equations has no solutionThe system of equations has only one solutionThe system of equations has infinitely many solutionsThe point (-1,-5) is a solution to the system of equationsThe two lines in the system of equations have the same slope

Brenda Leach 2022-11-24

## Randy has \$3.55 worth of dimes and quarters in his pocket. The number of dimes is four more than twice the number of quarters. Which system of equations can be used to find how many dimes (d) and quarters (q) Randy has in his pocket?

neudateaLp 2022-11-24

## Let $a,b,c$ be nonzero real numbers and let ${a}^{2}-{b}^{2}=bc$ and ${b}^{2}-{c}^{2}=ca$. Prove that ${a}^{2}-{c}^{2}=ab$.The solution strategy given in the course was to scale the two given equations by $s=\frac{1}{c}$, resulting in ${a}^{2}-{b}^{2}=bc$ becoming ${a}^{2}-{b}^{2}=b$ and ${b}^{2}-{c}^{2}=ca$ becoming ${b}^{2}-1=a$. $c$ is basically being set to 1, but I don't understand the justification. Doesn't scaling by $\frac{1}{c}$ by definition not change the equations, since $\left(a/c{\right)}^{2}-\left(b/c{\right)}^{2}=\left(b/c\right)\left(c/c\right)⟺\frac{{a}^{2}-{b}^{2}}{{c}^{2}}=\frac{bc}{{c}^{2}}⟺{a}^{2}-{b}^{2}=bc$Where is mistake?

aplaya4lyfeSS1 2022-11-23

## Solve the system of equations ${x}^{2}={y}^{3},{x}^{y}={y}^{x}$ in positive real numbers.

Jared Lowe 2022-11-20