Answer
$(\frac{5}{6},\frac{5}{6})$
Work Step by Step
Multiplying equation 1 by -8, we get:
$-16r-32s=-40$ and $16r+50s=55$
Adding both equations, we get $18s=15$ and thus $s=\frac{5}{6}$ (Elimination)
Substituting the value of s in equation 2: $16r + 50\times \frac{5}{6}=55$
This becomes $16r=55-\frac{250}{6}=\frac{80}{6}$ and $r=\frac{80}{96}=\frac{5}{6}$
Thus, we get $(\frac{5}{6},\frac{5}{6})$ as a solution.
