#### Answer

One common solution $\Rightarrow$ $(72,30)$

#### Work Step by Step

We use the addition method below:
We add the two equations:
$8x-5y=426$
$7x-2y=444$
Multiply the first equation by $7$ and the second equation by $-8$ to cancel $x$:
$+56x-35y=2982$
$\underline{-56x+16y=-3552}$
$-19y=-570$
Solve for $y$:
$y=\frac{-570}{-19}=30$
Substitute into any of the two equations and solve for $x$:
$8x-5y=426$
$8x-5(30)=426$
$8x-150=426$
$8x=426+150$
$8x=576$
$x=\frac{576}{8}$
$x=72$