Answer
$(-\frac{14}{3},-\frac{35}{3})$
Work Step by Step
Given:
$y=-2x-21$
$y= x - 7$
The lines appear to intersect at $(-\frac{14}{3},-\frac{35}{3})$. Check if $(-\frac{14}{3},-\frac{35}{3})$ makes both equations true.
$y=-2x-21$
$-\frac{35}{3}=-2(-\frac{14}{3})-21$
$-\frac{35}{3}=-\frac{35}{3}$
$-\frac{35}{3}= -\frac{14}{3} - 7$
$-\frac{35}{3}=-\frac{35}{3}$
The solution is $(-\frac{14}{3},-\frac{35}{3})$.
