Use elimination to solve this system of equations x-4y=11 5x-7y=-10

To solve by elimination we need to have one of the x or y have the same number in front.
Since the number can not be subtracted or divided to eliminate, we need to multiply one of the equations.
5(x-4y = 11)
Using the distributive property, multiply.
5x-20y = 55
Now we can eliminate.
5x-20y=55
-
5x-7y=-10
Subtract accordingly.
-13y = 65
Divide -13 to both sides to isolate -13.
-13y=65
/-13 /-13
y = -5
Using the original problem just fill in x.
x - 4y =11
x - 4 (-5) = 11
x + 20 = 11
- 20 -20
x = -9

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