Answer
(4,7)
Work Step by Step
Multiply the first equation by 8. Multiply the second equation by 9. Add the two equations to eliminate y.
$5x-9y=-43\ \ \ \ $multiply by 8$\ \ \ \ 40x-72y=-344$
$3x+8y=\ \ \ 68\ \ \ \ $multiply by 9$\ \ \ \ \underline{27x+72y=\ \ \ 612}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 67x\ \ \ \ \ \ \ \ \ \ \ =\ \ \ 268$
Solve for x.
$67x=268$
$67x\div67=268\div67$
$x=4$
Substitute 4 for x in either equation and solve for y.
$3(4)+8y=68$
$12+8y-12=68-12$
$8y=56$
$8y\div8=56\div8$
$y=7$
