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:

Respuesta :

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

For this, just divide both sides by 4, and your answer will be [tex] y=2 [/tex]

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

[tex] x-2=-3\\ x=-1\\ \\ x+3*2=5\\ x+6=5\\ x=-1 [/tex]

In short, x = -1.