Answer
One common solution $\Rightarrow$ $(0.5,5)$
Work Step by Step
We use the addition method below:
We add the two equations:
$4x+3y=17$
$2x-y=-4$
Multiply both sides of the second equation by $-2$ to cancel $x$.
$+4x+3y=17$
$\underline{-4x+2y=8}$
$5y=25$
Solve for $y$:
$y=\frac{25}{5}=5$
Substitute into any of the two equations and solve for $x$:
$2x-y=-4$
$2x-5=-4$
$2x=-4+5$
$2x=1$
$x=\frac{1}{2}$
$x=0.5$
