Question 1010933
Opposite angles (such as Q and S) are congruent (same measure),
so {{{5x=3x+5y}}}<-->{{{5x-3x=5y}}}<-->{{{2x=5y}}} .
Adjacent angles (such as Q and R) are supplementary,
so if the measures given are in degrees,
{{{5x+(3x-2y)=180}}}<-->{{{8x-2y=180}}}<-->{{{4x-y=90}}}<-->{{{4x-90=y}}} .
With those two equations,
{{{system(2x=5y,y=4x-90)}}}-->{{{system(2x=5(4x-90),y=4x-90)}}}-->{{{system(2x=20x-450,y=4x-90)}}}-->{{{system(-18x=-450,y=4x-90)}}}-->{{{system(x=(-450)/(-18),y=4x-90)}}}-->{{{system(x=25,y=4x-90)}}}-->{{{system(x=25,y=4*25-90)}}}-->{{{system(x=25,y=100-90)}}}-->{{{highlight(system(x=25,y=10))}}}