4x + 6y = 0
x - 18y = -39
Let's eliminate the y by multiplying the first equation by -3 then adding it to the second equation:
(-3)*(4x + 6y = 0)
-12x - 18y = 0
12x + 18y = 0
x - 18y = -39
--------------------
13x + 0 = -39
13x = -39
x = -3
Find y:
4x + 6y = 0
4(-3) + 6y = 0
-12 + 6y = 0
6y = 12
y = 2
Check:
4x + 6y = 0
4(-3) + 6(2) = 0
-12 + 12 = 0
0 = 0 Check!!
x - 18y = -39
(-3) - 18(2) = -39
-3 - 36 = -39
-39 = -39 Check!!
