Question 253260
{{{x+y=10}}} Start with the first equation.



{{{2(x+y)=2(10)}}} Multiply both sides by 2.



{{{2x+2y=2(10)}}} Distribute



{{{2x+2y=20}}} Multiply



{{{highlight(y-13)+2y=20}}} Plug in {{{2x=y-13}}}. In other words, replace each '2x' with 'y-13' (that's why I multiplied both sides by 2 above).



{{{3y-13=20}}} Combine like terms on the left side.



{{{3y=20+13}}} Add {{{13}}} to both sides.



{{{3y=33}}} Combine like terms on the right side.



{{{y=(33)/(3)}}} Divide both sides by {{{3}}} to isolate {{{y}}}.



{{{y=11}}} Reduce.



{{{2x=y-13}}} Move onto the second equation



{{{2x=11-13}}} Plug in {{{y=11}}}



{{{2x=-2}}} Subtract



{{{x=(-2)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=-1}}} Reduce.


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Answer:



So the solutions are {{{x=-1}}} and {{{y=11}}} giving us the ordered pair (-1,11).