Answer
(2,-1)
Work Step by Step
Multiply the first equation by 4. Multiply the second equation by 3. Add the equations to eliminate y.
$6x-3y=15\ \ \ \ $multiply by 4$\ \ \ \ 24x-12y=60$
$7x+4y=10\ \ \ \ $multiply by 3$\ \ \ \ \underline{21x+12y=30}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 45x\ \ \ \ \ \ \ \ \ \ \ =90$
Solve for x.
$45x=90$
$45x\div45=90\div45$
$x=2$
Substitute 2 for x in either equation and solve for y.
$7(2)+4y=10$
$14+4y-14=10-14$
$4y=-4$
$4y\div4=-4\div4$
$y=-1$
