Question

Solve the system by elimination.
-4x - 4y = 0
4x + 4y = 0

Answer 1

`\begin{bmatrix}4x+4y=0\\ -4x-4y=0\end{bmatrix}`

Subtract 4y from both sides.

`4x+4y-4y=0-4y`

Simplify

`4x=-4y`

Divide each side by 4

`(4x)/(4)=(-4y)/(4)`

Simplify

`x= -y`

Substitute x as -y.

`\begin{bmatrix}-4\left(-y\right)-4y=0\end{bmatrix}`

`0=0`

The values of x and y are both zero.