Question

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

Answer 1

Answer:

The solution to the system of equations be:

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

Step-by-step 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

$\frac{5x}{5}=\frac{10}{5}$

$x = 2$

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

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

$y-6=-9$

Add 6 to both sides

$y-6+6=-9+6$

$y=-3$

Therefore, the solution to the system of equations be:

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