Question 461052
{{{ax+by=m}}}.......1

{{{bx-ay=c}}}.......2
---------------------------


{{{ax=m-by}}}.......1


{{{x=m/a-by/a}}}

{{{highlight(x=(m-by)/a)}}}........plug in 2


{{{bx-ay=c}}}.......2


{{{b(m-by)/a-ay=c}}}


{{{bm-b^2y-a^2y=ac}}}


{{{-b^2y-a^2y=ac-bm}}}... both sides multiply by {{{-1}}}

{{{b^2y+a^2y=-ac+bm}}}

{{{y(b^2+a^2)=bm-ac}}}

{{{highlight(y=(bm-ac)/(b^2+a^2))}}}