Solve the system of equations x + 3y = −1 2x + 2y = 6

*Answer*

y = -2

x = 5

*Step By Step Explanation*

To find y:

You’ll need to remove the x from the TOP equation, to do so,

You’ll need to find what is x + y, like so

2x + 2y = 6

x + y = 3

After you get this from division, subtract x + y from x + 3y and you’ll get this:

x + 3y - (x + y)
= x + 3y - x - y
= 2y

To find what 2y is, you have to subtract the value of x + y which is 3 from the value of x + 3y which is -1.

-1 - 3 = -4

Hence,

2y = -4
y = -2

To find x:

You would need to substitute the expression given with y. Like so:

x + 3y = -1
x + 3(-2) = -1
x - 6 = -1
x = 5

Hope it helps!

(There are also other ways to solve this system)