Answer
One common solution $\Rightarrow$ $(9,-2)$
Work Step by Step
We use the addition method below:
We add the two equations:
$7x+8y=47$
$5x-3y=51$
Multiply the first equation by $5$ and the second equation by $-7$ to cancel $x$:
$+35x+40y=+235$
$\underline{-35x+21y=-357}$
$61y=-122$
Solve for $y$:
$y=\frac{-122}{61}=-2$
Substitute into any of the two equations and solve for $x$:
$7x+8y=47$
$7x+8(-2)=47$
$7x-16=47$
$7x=47+16$
$7x=63$
$x=\frac{63}{7}$
$x=9$
