Question

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

Solve each system of equations by substitution

Answer 1

Answer:

$y=1,\:x=2$

Step-by-step explanation:

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

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

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

$x=2$

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

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

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

$\mathrm{Simplify}$

$y=1$

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

$y=1,\:x=2$