Answer
$(\frac{-14}{9},\frac{20}{9})$
Work Step by Step
Multiplying equation 1 by -5 and equation 2 by 2, we get:
$-10x-25y=-40$ and $10x+16y=20$
Adding both equations, we get $-9y=-20$ and thus $y=\frac{20}{9}$ (Elimination)
Substituting the value of x in original equation 1: $2x+5\times \frac{20}{9} =8$
This becomes $2x=8-\frac{100}{9}=\frac{-28}{9}$ and $x=\frac{-14}{9}$
Thus, we get $(\frac{-14}{9},\frac{20}{9})$ as a solution.
