PLEASE HELP!!!!!!!!!!!!!!!!!!

Question

asked Aug 8, 2021 123k views

1 Answer

Jwillmer · Answer 1 · 2021-08-11T23:09:48+0000

Answer:

The solution to the system of equations be:

$y=-3,\:x=2$

Explanation:

Given the system of equations

$\begin{bmatrix}y=3x-9\\ y=-2x+1\end{bmatrix}$

Let us solve the system by the elimination method

$\begin{bmatrix}y=3x-9\\ y=-2x+1\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-3x=-9\\ y+2x=1\end{bmatrix}$

subtracting the equations

y+2x=1

$\underline{y-3x=-9}$

5x=10

so the system of equations becomes

$\begin{bmatrix}y-3x=-9\\ 5x=10\end{bmatrix}$

solve 5x for x

5x=10

Divide both sides by 5

(5x)/(5)=(10)/(5)

x = 2

$\mathrm{For\:}y-3x=-9\mathrm{\:plug\:in\:}x=2$

$y-3\cdot \:2=-9$

y-6=-9

Add 6 to both sides

y-6+6=-9+6

y=-3

Therefore, the solution to the system of equations be:

$y=-3,\:x=2$