Answer
$x=\frac{4}{3}$
$y=\frac{1}{5}$
Work Step by Step
$3x-5y=3$ $(1)$
$15x+5y=21$ $(2)$
Add the two equations
$(3x+15x) + (-5y+5y) = 3 + 21$
$18x=24$
$x=\frac{24}{18}$
$x=\frac{4}{3}$
Substitute into Eq $(1)$
$5y=3x-3$
$5y=3 \times \frac{4}{3}-3$
$5y=1$
$y=\frac{1}{5}$