Question 281653
{{{x+3y=11}}} Start with the second equation.



{{{x+3(2x-1)=11}}} Plug in {{{y=2x-1}}}



{{{x+6x-3=11}}} Distribute.



{{{7x-3=11}}} Combine like terms on the left side.



{{{7x=11+3}}} Add {{{3}}} to both sides.



{{{7x=14}}} Combine like terms on the right side.



{{{x=(14)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



{{{y=2x-1}}} Go back to the first equation.



{{{y=2(2)-1}}} Plug in {{{x=2}}}



{{{y=4-1}}} Multiply



{{{y=3}}} Subtract



So the solutions are {{{x=2}}} and {{{y=3}}} giving us the ordered pair (2,3)