Question 145835
Start with the given system

{{{x+8y=54}}}
{{{-x+9y=48}}}


Add the two equations. Notice that the x terms cancel out.

{{{cross(x-x)+(8y+9y)=(54+48)}}}


{{{17y=102}}} Simplify



{{{y=6}}} Divide both sides by 17 to isolate y



{{{x+8y=54}}} Go back to the first equation



{{{x+8(6)=54}}} Plug in {{{y=6}}}



{{{x+48=54}}} Multiply



{{{x=6}}} Subtract 48 from both sides




So our answers are {{{x=6}}} and {{{y=6}}}