Question

Please do elimination method 2x-9y=-36 -14x+18y=-18

Answer 1

Answer:

The solution to the system of equations will be:

$x=9,\:y=6$

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}$

Multiply 2x-9y=-36 by 7

$14x-63y=-252$

so the system of equations becomes

$\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}$

Adding both equations

$-14x+18y=-18$

$+$

$\underline{14x-63y=-252}$

$-45y=-270$

solve -45y = -270 for y

$-45y=-270$

divide both sides by -45

$\frac{-45y}{-45}=\frac{-270}{-45}$

Simplify

$y=6$

For 14x-63y = -270 plug in y = 6

$14x-63\cdot \:6=-252$

$14x-378=-252$

Add 378 to both sides

$14x-378+378=-252+378$

Simplify

$14x=126$

Divide both sides by 14

$\frac{14x}{14}=\frac{126}{14}$

Simplify

$x=9$

Therefore, the solution to the system of equations will be:

$x=9,\:y=6$