Answer
(1,-2)
Work Step by Step
Add the 2 equations.
$\ \ 4x-5y=14$
$\underline{\ \ 2x+3y=-4}$ multiply both sides by -2
$\ \ \ \ \ \ 4x-5y=\ 14$
$\underline{\ \ -4x-6y=\ \ 8}$
$\ \ \ \ \ \ \ \ \ \ -11y\ =22$ divide both sides by -11
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y\ \ =-2$
Substitute and solve for x.
$4x-5y=14$
$4x-5(-2)=14$
$4x+10-10=14-10$
$4x\div4=4\div4$
$x=1$
