Answer
Solution: $(5,2)$
Work Step by Step
$2x-y=8$ Equation $(1)$
$x+3y=11$ Equation $(2)$
Solving by elimination method.
Multiply Equation $(1)$ by $3$
$6x-3y=24$ Equation $(3)$
Add Equations $(3)$ and $(2)$ to eliminate $y$
$6x-3y+x+3y = 24 +11$
$7x = 35$
$x= 5$
Substituting $x$ value in Equation$(2)$, we get
$x+3y=11$
$5+3y=11$
$3y=11-5$
$3y=6$
$y=\frac{6}{3}=2$
Solution: $(5,2)$