For this sys of equations, like all, we first have to solve for y or x in either equation In this case, lets solve for y in the 2nd equation -2x+3y=9 add 2x to both sides 3y=9+2x divide 3 on both sides y=2/3(x) + 3
now plug in y for the first equation 2x-5(2/3x)+3/11 simplify -4/3(x) + 3=11 subtract 3 from both sides -4/3x=8 multiply 3/4 on both sides x= -6
now plug in x for either equation, lets do the first one again 2 (-6)-5y=11 -5y-12=11 add twelve to both sides -5y=23 divide y=-23/5
