Question

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

correct ordered pair.
5x+3y = 13
-5x-12y = 23

Answer 1

x = 5, y = -4 → (5, -4)

Explanation:

`\underline{+\left\{\begin{array}{ccc}5x+3y=13\\-5x-12y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-9y=36\qquad\text{divide both sides by (-9)}\\.\qquad y=-4\\\\\text{put the value of y to the first equation:}\\\\5x+3(-4)=13\\5x-12=13\qquad\text{add 12 to both sides}\\5x=25\qquad\text{divide both sides by 5}\\x=5`