you have to solve for 1 variable
I'm pretty sure they want 4y and not just y becaseu taht is too easy
-6x+4y=33
5x+18y=29
solve for 1 variable
may be messy
-6x+4y=33
add 6x both sides
4y=33+6x
divide both sides by 4
y=(33+6x)/4
sub that for y in other equation
5x+18((33+6x)/4)=29
5x+9(33+6x)/2=29
5x+(297+54x)/2=29
(10x/2)+(297+54x)/2=29
times both sides by 2
10x+297+54x=58
297+64x=58
minus 297 both sides
64x=-239
divide both sides by 64
x=-239/64
sub back
y=(33+6x)/4
y=(33+6(-239/64))/4
y=(33-717/32)/4
y=(1056/32-717/32)/4
y=(339/32)/4
y=339/128
the solution is
[tex]( \frac{-239}{64}, \frac{339}{128}) [/tex]
you can graph it and check if you want
