Problem: solve the following system of equations
3x-6y=30
y=6x+34
3x - 6y = 30
y = 6x + 34
3x - 6y = 30
3x - 6(6x + 34) = 30
3x - 36x - 204 = 30
-33x - 204 = 30
-33x - 204 + 204 = 30 + 204
-33x = 234
-33x/-33 = 234/-33
x = -7.09090909
y = 6x + 34
y = 6(-7.09090909) + 34
y = -42.54545454 + 34
y = -8.54545454
Answer: x = -7.09090909, y = -8.54545454