Answer
Solution set is
$\{ (x,y) | 2x-5y=3\}$ or
$\{ (x,y) | -4x+10y = -6\}$
Work Step by Step
$2x-5y = 3$ Equation $(1)$
$-4x+10y = -6$ Equation $(2)$
Multiply Equation $(1)$ by $2$
$4x-10y = 6$ Equation $(3)$
Adding Equation $(2)$ and Equation $(3)$
$-4x+4x+10y-10y = -6 +6$
$0=0$
This resulting statement is true for all possible values of $x$ or $y$. The equations have infinite number of solutions.
Solution set is
$\{ (x,y) | 2x-5y=3\}$ or
$\{ (x,y) | -4x+10y = -6\}$
