How do you solve the following system of equations? 3x +4y = 15, 3x + 2y = 12

1 Answer
Mar 14, 2018

(3,3/2)

Explanation:

Because we have a 3x in both equations, we can solve this system using the elimination method.

3x+4y=15
3x+2y=12

You can subtract the bottom equation from the top one to get:

2y=3
y=3/2

To solve for x, you can plug y into one of the equations. In this case, the bottom equation would be easier to use.

3x+2(3/2)=12
3x+3=12
3x=9
x=3

x=3 and y=3/2, so the solution to this system is...
(3,3/2)