Question 253241
{{{x+7=-9y}}} Start with the first equation.



{{{x+7=-9(7-4x)}}} Plug in {{{y=7-4x}}}



{{{x+7=-63+36x}}} Distribute.



{{{x=-63+36x-7}}} Subtract {{{7}}} from both sides.



{{{x-36x=-63-7}}} Subtract {{{36x}}} from both sides.



{{{-35x=-63-7}}} Combine like terms on the left side.



{{{-35x=-70}}} Combine like terms on the right side.



{{{x=(-70)/(-35)}}} Divide both sides by {{{-35}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



{{{y=7-4x}}} Go back to the second equation.



{{{y=7-4(2)}}} Plug in {{{x=2}}}



{{{y=7-8}}} Multiply



{{{y=-1}}} Subtract



=============================================================

Answer:


So the solutions are {{{x=2}}} and {{{y=-1}}} giving us the ordered pair (2,-1)