<PRE><B>Question 177469</B>
First, multiply both sides of {{{-x=-22-2y}}} by negative 1 to get {{{x=22+2y}}}



{{{-2y=-6x+62}}} Start with the first equation.



{{{-2y=-6(22+2y)+62}}} Plug in {{{x=22+2y}}}



{{{-2y=-132-12y+62}}} Distribute.



{{{-2y=-12y-70}}} Combine like terms on the right side.



{{{-2y+12y=-70}}} Add {{{12y}}} to both sides.



{{{10y=-70}}} Combine like terms on the left side.



{{{y=(-70)/(10)}}} Divide both sides by {{{10}}} to isolate {{{y}}}.



{{{y=-7}}} Reduce.


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{{{x=22+2y}}} Go back to the second equation



{{{x=22+2(-7)}}} Plug in {{{y=-7}}}



{{{x=22-14}}} Multiply



{{{x=8}}} Combine like terms.




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Answer:



So the solutions are {{{x=8}}} and {{{y=-7}}}.



Which form the ordered pair *[Tex \LARGE \left(8,-7\right)].

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