Question

Use the elimination method to solve the system of equations. Choose the

correct ordered pair,
2y = x + 2
x - 3y = -5

Answer 1

Y is equal to 3
X is equal to 4

Answer 2

x = 4, y = 3 → (4, 3)

Explanation:

`\left\{\begin{array}{ccc}2y=x+2&\text{subtract x from both sides}\\x-3y=-5\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x+2y=2\\x-3y=-5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-y=-3\qquad\text{change the signs}\\.\qquad\boxed{y=3}\\\\\text{put the value of y to the second equation:}\\\\x-3(3)=-5\\x-9=-5\qquad\text{add 9 to both sides}\\\boxed{x=4}`