Problem: How to solve using elimination method
-3x+4y=1
-6x+6y=-3
1) -3x + 4y = 1
2) -6x + 6y = -3
Multiply equation 1 by 2.
2(-3x + 4y) = 1 * 2
3) -6x + 8y = 2
Subtract equation 2 from equation 3 to eliminate the x term.
-6x + 8y = 2
-(-6x + 6y = -3)
--------------------
2y = 5
2y = 5
y = 2.5
Plug that into equation 1 to solve for x.
-3x + 4y = 1
-3x + 4(2.5) = 1
-3x + 10 = 1
-3x + 10 - 10 = 1 - 10
-3x = -9
-3x/-3 = -9/-3
x = 3
Plug both values into equation 2 to check.
-6x + 6y = -3
-6(3) + 6(2.5) = -3
-18 + 15 = -3
-3 = -3
Answer: x = 3, y = 2.5