Problem: how to solve 13x-4y=38, x-6y=-54
by using the substitution method
x - 6y = -54
x - 6y + 6y = -54 + 6y
x = 6y - 54
Substitute that into the other equation.
13x - 4y = 38
78y - 702 - 4y = 38
74y - 702 = 38
74y - 702 + 702 = 38 + 702
74y = 740
74y/74 = 740/74
y = 10
Solve for x.
x - 6y = -54
x - 6(10) = -54
x - 60 = -54
x - 60 + 60 = -54 + 60
x = 6
Verify by using the other equation.
13x - 4y = 38
13(6) - 4(10) = 38
78 - 40 = 38
38 = 38
Answer: x = 6, y = 10