Question

Solve the system of linear equations below.

x − 3y = -3
x + 3y = 9
x = -12, y = 7
x = 3, y = 2
x = 6, y = 1
x = 6, y = 2

Answer 1

Explanation:

Let's use the addition/elimination method to solve this. If we multiply the first equation through by -1 we can eliminate the x terms. Doing that gives us:

-x + 3y = 3

x + 3y = 9

The x's subtract each other away leaving us with

6y = 12 so

y = 2.

Now we will plug in 2 for y in either of the original equations to solve for x:

x + 3(2) = 9 and

x + 6 = 9 so

x = 3

The coordinate for the solution is (3, 2) or x = 3, y = 2

The second choice down is the one you want.