Answer
$(\frac{7}{25},-\frac{2}{25})$
Work Step by Step
Multiply the first equation by 3. Multiply the second equation by 2. Add the equations to eliminate y.
$3x-2y=1\ \ \ \ $multiply by 3$\ \ \ \ \ \ 9x-6y=3$
$8x+3y=2\ \ \ \ $multiply by 2$\ \ \ \ \underline{16x+6y=4}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 25x\ \ \ \ \ \ \ \ \ =7$
Solve for x.
$25x=7$
$25x\div25=7\div25$
$x=\frac{7}{25}$
Substitute $\frac{7}{25}$ for x in either equation to solve for y.
$8x+3y=2$
$8(\frac{7}{25})+3y=2$
$2\frac{6}{25}+3y-2\frac{6}{25}=2-2\frac{6}{25}$
$3y=-\frac{6}{25}$
$3y\div3=-\frac{6}{25}\div3$
$y=-\frac{2}{25}$
