Question 236065


{{{2x+2y=50}}} Start with the 1st equation



{{{2x+2(x+9)=50}}} Plug in {{{y=x+9}}}



{{{2x+2x+18=50}}} Distribute.



{{{4x+18=50}}} Combine like terms on the left side.



{{{4x=50-18}}} Subtract {{{18}}} from both sides.



{{{4x=32}}} Combine like terms on the right side.



{{{x=(32)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=8}}} Reduce.



{{{y=x+9}}} Move onto to the 2nd equation



{{{y=8+9}}} Plug in {{{x=8}}}



{{{y=17}}} Add



So the solutions are {{{x=8}}} and {{{y=17}}} which form the ordered pair (8,17). So the system is consistent and independent.