Answer
$x=\frac{7}{25}$
$y=\frac{21}{50}$
Work Step by Step
$3x−2y=1$ (1)
$8x+3y=2$ (2)
Multiply equation (1) by $3$, and multiply equation (2) by $2$.
$9x−6y=3$ (1)
$16x+6y=4$ (2)
Since the difference of the coefficients of y is 0, eliminate y.
$25x=7$
$x=\frac{7}{25}$
$y=\frac{21}{50}$