Question

Solve each system of equations by elimination . Clearly identify your solution.x + y = -5x - y = 9

Answer 1

x=2, y=-7

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} x+y=-5 \\ x-y=9 \end{gathered}`

To solve the system by elimination, we add the two equations to eliminate y.

`\begin{gathered} (x+x)+(y-y)=-5+9 \\ 2x=4 \\ x=(4)/(2) \\ x=2 \end{gathered}`

Next, we substitute x=2 in any of the equations to solve for y.

`\begin{gathered} x-y=9 \\ 2-y=9 \\ y=2-9 \\ y=-7 \end{gathered}`

The solution to the system of equations is therefore: (2, -7).