What is the solution of the following system?
y=-x+2
y=-4x – 1
Your answer

y = 3

x = -1

Step-by-step explanation:

The idea to start the problem is that we need to cancel x in one equation to find y first, therefore:

y = -x + 2 (let's multiply this entire equation by -4)

y = -4x - 1

We then have .:

- 4y = 4x - 8

   y = -4x - 1 (now we sum both equations)

.:

- 3y = -9 (isolate y)

   y = -9 / -3

   y = 3 (good we have y!)

Now come back to one of the equations, substitute y to find your x!

Substituting on the first equation we have:

3 = -x +2 (isolate x)

3 - 2 = -x

1 = -x (multiply everything by -1)

x = -1

I hope it helps :)