Question

Y = 9x - 17
y = -5x + 11

Solve each system of equations by substitution

Answer 1

`y=1,\:x=2`

Explanation:

`\begin{bmatrix}y=9x-17\\ y=-5x+11\end{bmatrix}`

`\mathrm{Substitute\:}y=-5x+11`

`\begin{bmatrix}-5x+11=9x-17\end{bmatrix}`

`x=2`

`\mathrm{For\:}y=-5x+11`

`\mathrm{Substitute\:}x=2`

`y=-5\cdot \:2+11`

`\mathrm{Simplify}`

`y=1`

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

`y=1,\:x=2`