so we need to cancel out one of the placeholders
lets cancel out he y terms
3x+2y=22
5x+3y=35
multply first equation by 3 and second by -2
9x+6y=66
-10x-6y=7=-70
add them together
9x-10x+6y-6y=66-70
-x=-4
multipoly -1
x=4
subsitute
3(4)+2y=22
12+2y=22
subtract 12
2y=10
divide 2
y=5
x=4
y=5
