Question

What is the solution of this system of equations?

x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)

Answer 1

B. (-2,3)

Step-by-step explanation:

First, we'll turn both lines to slope-intercept form:

x + 3y = 7

Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.

3x + 2y = 0

Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.

Now you can graph (I did it for you above⤴⤴⤴).

Hope this helps you :)