Answer
$x=\dfrac{4}{3}$ and $ y=\dfrac{1}{5}$
Work Step by Step
We need to solve the given system of equations:
$3x-5y=3 ....(1)$
$15x+5y=21 ...(2)$
First, we add the two equations (1) and (2).
$3x+15x-5y+5y=3+21$
$18x=24 \\ x=\dfrac{24}{18 } \\ x=\dfrac{4}{3}$
Now, that we solved for $x$, we back substitute into Equation (1) to solve $y$:
$5y=(3)( \dfrac{4}{3})-3 \\ 5y=1 \\ y=\dfrac{1}{5}$
