Question

X + y = -5x - y = 9 Solve by elimination

Answer 1

`x=2;y=-7`

Step-by-step explanation

We want to solve the system of equations by elimination:

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

To do this, add the two equations:

`\begin{gathered} x+x+y-y=-5+9 \\ \Rightarrow2x=4 \end{gathered}`

Simplify and solve for x:

`\begin{gathered} (2x)/(2)=(4)/(2) \\ x=2 \end{gathered}`

To find y, substitute the value of x into the first equation:

`\begin{gathered} 2+y=-5 \\ \Rightarrow y=-5-2 \\ y=-7 \end{gathered}`

The solution to the system of equations is:

`x=2;y=-7`