\(x-4y=5 \ \ \ |\hbox{multiply both sides by (-1)} \\
x-3y=2 \\ \\
-x+4y=-5 \\
\underline{x-3y=2 \ \ \ \ \ \ } \ \ \ |\hbox{add the sides of the equation} \\
-x+4y+x-3y=-5+2 \\
4y-3y=-5+2 \\
y=-3 \\ \\
\hbox{replace y with -3 in one of the equations and solve for x:} \\
x-4y=5 \\
x-4 \times (-3)=5 \\
x+12=5 \\
x=5-12 \\
x=-7 \\ \\
(x,y)=(-7,-3)\)
