Question

use the elimination method to solve the system of equations. choose the correct ordered pairx+y=9x-y=7

Answer 1

Add the equation to eliminate y from the equations.

$\begin{gathered} x+y+(x-y)=9+7 \\ 2x=16 \\ x=\frac{16}{2} \\ =8 \end{gathered}$

Substitute 8 for x in the equation x + y =9 to obtain the value of y.

$\begin{gathered} 8+y=9 \\ y=9-8 \\ =1 \end{gathered}$

So solution of system of equations is (8,1).