## Algebra 1: Common Core (15th Edition)

$(-\frac{14}{3},-\frac{35}{3})$
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 $(-\frac{14}{3},-\frac{35}{3})$.