Question 201022
{{{3x+7y=0}}} Start with the given equation.



{{{3(11-6y)+7y=0}}} Plug in {{{x=11-6y}}}



{{{33-18y+7y=0}}} Distribute.



{{{-11y+33=0}}} Combine like terms on the left side.



{{{-11y=0-33}}} Subtract {{{33}}} from both sides.



{{{-11y=-33}}} Combine like terms on the right side.



{{{y=(-33)/(-11)}}} Divide both sides by {{{-11}}} to isolate {{{y}}}.



{{{y=3}}} Reduce.



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{{{x=11-6y}}} Go back to the second equation



{{{x=11-6(3)}}} Plug in {{{y=3}}}



{{{x=11-18}}} Multiply



{{{x=-7}}} Subtract



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Answer:



So the solutions are {{{x=-7}}} and {{{y=3}}} which form the ordered pair (-7,3)