Answer
$(2,3) $ is a solution of the system.
Work Step by Step
A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true.
Substituting $x=2, y=3$ into each equation,
$2x-y=1$
$2(2)-(3)\stackrel{?}{=}1$
$4-3=1,\qquad $...the first equation is true for $(2,3)$
$5x-3y=1$
$5(2)-3(3)\stackrel{?}{=}1$
$10-9=1\qquad $...the second equation is true for $(2,3)$
$(2,3) $ is a solution of the system.