Answer
No solution.
The solution set is empty.
Work Step by Step
$3x+\frac{y}{2}=2$ Equation $(1)$
$6x+y=5 $ Equation $(2)$
From Equation $(1)$
$3x+\frac{y}{2}=2$
Taking LCD,
$\frac{6x+y}{2}=2$
$6x+y=4$ Equation $(3)$
Subtract Equation $(3)$ from Equation $(2)$
$6x+y -(6x+y)=5 -4$
$6x+y -6x-y=1$
$0=1$
The resulting equation is false for all values of $x$ or $y$. Thus the system has no solution. The solution set is empty.
