Answer
(7,3)
Work Step by Step
Set y = $\frac{1}{3}x$ + $\frac{2}{3}$ equal to y = $\frac{5}{7}x$ - 2
Solve for x:
$\frac{1}{3}x$ - $\frac{5}{7}x$ = -$\frac{2}{3}$ - 2
$\frac{8}{21}x$ = $\frac{8}{3}$
8x = 56
x = 7
Plug 7 back into y = $\frac{5}{7}x$ - 2
y = $\frac{5}{7}\times7$ - 2
y = 3
