Question

Solve for x and y
Y=2/3x-2 y=-x+3

Answer 1

`y=0,\:x=3`

Explanation:

`\begin{bmatrix}y=(2)/(3)x-2\\ y=-x+3\end{bmatrix}`

`\mathrm{Substitute\:}y=-x+3`

`\begin{bmatrix}-x+3=(2)/(3)x-2\end{bmatrix}`

Isolate x for -x+3=2/3x-2: x=3

`\mathrm{For\:}y=-x+3`

`\mathrm{Substitute\:}x=3`

`y=-3+3`

`\mathrm{Simplify}`

`y=0`

`\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}`

`y=0,\:x=3`