Question

What is the solution to this system of linear equations?

x-3y=-2
x + 3y = 16
O (7, 3)
O (3,7)
O (-2, -3)
O (-3, -2)

Answer 1

(7, 3)

Explanation:

We can solve this system using elimination. In this scenario, we can eliminate x by subtracting the two equations:

x-3y=-2

x+3y=16

-3y-3y=-2-16

-6y=-18

Divide both sides by -6

y=3

Plug 3 back in for y to solve for x:

x-3(3)=-2

x-9=-2

Add 9 to both sides

x=7

(x, y) = (7, 3)