Question

Solve the system by elimination. x+y=2x-y=6

Answer 1

x = 4 and y = -2

Explanation:

We have the following system of equations:

`\begin{gathered} x+y=2 \\ x-y=6 \end{gathered}`

To use the elimination system, we only have to add both equations, like this:

`\begin{gathered} x+y+x-y=2+6 \\ 2x=8 \\ x=(8)/(2) \\ x=4 \\ \\ \text{ now, for y:} \\ x+y=2 \\ 4+y=2 \\ y=2-4 \\ y=-2 \end{gathered}`

The value of x is 4 and the value of y is -2