Answer
$\left\{\left(\dfrac{4}{3},\dfrac{1}{5}\right)\right\}$
Work Step by Step
We are given the system of equations:
$\begin{cases}
3x-5y=3\\
15x+5y=21
\end{cases}$
Use the elimination method. Add the two equations to eliminate $y$ and determine $x$:
$3x-5y+15x+5y=3+21$
$18x=24$
$x=\dfrac{24}{18}$
$x=\dfrac{4}{3}$
Determine $y$ using the first equation:
$3x-5y=3$
$3\left(\dfrac{4}{3}\right)-5y=3$
$4-5y=3$
$5y=1$
$y=\dfrac{1}{5}$
The solution set of the system is:
$\left\{\left(\dfrac{4}{3},\dfrac{1}{5}\right)\right\}$
