Answer
One common solution $\Rightarrow$ $(2,1.25)$
Work Step by Step
We use the addition method below:
We add the 2 equations:
$5x-12y=-5$
$9x-16y=-2$
Multiply the first equation by $9$ and the second equation by $-5$ to cancel $x$:
$+45x-108y=-45$
$\underline{-45x+80y=+10}$
$-28y=-35$
Solve for $y$:
$y=\frac{-35}{-28}=\frac{5}{4}=1.25$
Substitute into any of the 2 equations and solve for x:
$5x-12y=-5$
$5x-12(1.25)=-5$
$5x=-5+15$
$5x=10$
$x=\frac{10}{5}$
$x=2$
