Question

What is the value of x in the solution to the following system of equations?

x − y = −3
x + 3y = 5

Answer for Blank 1:

Answer 1

So for this, we will be using elimination method. With these two equations, subtract (x - y = -3) from (x + 3y = 5) to get
`4y=8` . From here we can solve for y.

For this, just divide both sides by 4, and your answer will be
`y=2`

Now that we have the value of y, substitute it in into either equation to solve for x:

`x-2=-3\\ x=-1\\ \\ x+3*2=5\\ x+6=5\\ x=-1`

In short, x = -1.