Question 325289
{{{x-2y=11}}} Start with the second equation.



{{{x=2y+11}}} Add 2y to both sides.



{{{-7x-2y=-13}}} Move back to the first equation.



{{{-7(2y+11)-2y=-13}}} Plug in {{{x=2y+11}}}



{{{-14y-77-2y=-13}}} Distribute.



{{{-16y-77=-13}}} Combine like terms on the left side.



{{{-16y=-13+77}}} Add {{{77}}} to both sides.



{{{-16y=64}}} Combine like terms on the right side.



{{{y=(64)/(-16)}}} Divide both sides by {{{-16}}} to isolate {{{y}}}.



{{{y=-4}}} Reduce.



{{{x=2y+11}}} Go back to the previously isolated equation.



{{{x=2(-4)+11}}} Plug in {{{y=-4}}}



{{{x=-8+11}}} Multiply



{{{x=3}}} Add



So the solutions are {{{x=3}}} and {{{y=-4}}} which form the ordered pair (3,-4)