Question

Solve the following system of equations and show all of your work.

4x + 3y = -1
3x + y = 3

Answer 1

4x + 3y = -1
+3x + y = 3
----------------
7x + 4y = 2
- 4y -4y
---------------
7x = 2 - 4y

Answer 2

ive got this now what do i do?

Answer 3

You're supposed to make one of the variables disappear first:

4x + 3y = -1 (Line 1)
+3x + y = 3 (Line 2)

Multiply Line 2 by -3, giving -9x-3y=-9

Now add them together, and you get:

4x+(-9x)+3y+(-3y) = -1+(-9)
-5x+0y = -10
x = 2.

Now put x back into the original Line 2, and you will get:

3*(2)+y = 3
6 + y = 3
y = -3

And there you have it