Solving systems by elimination (y=-x+1) (y=4x-14)

Answer: y=-2 and x=3

y = - x + 1

y = 4x - 14

To solve this system via elimination, we would need to multiply the top equation by 4, and then add both equations.

4 (-x + 1)

-4x + 4

Now we're left with two equations:

4y = - 4x + 4

y = 4x - 14

Add both equations.

5y = - 10

Divide both sides by 5.

y = - 2

Because we have a constant value for y, we can solve for x:

y = - x + 1

-2 = - x + 1

Add x to both sides.

x - 2 = 1

Add 2 to both sides.

x = 3