Question

What is the solution to the system of equations x-y=-1 and x-3y=-13?

why did you choose this answer?

Answer 1

(5,6)

Explanation:

x -y = -1

x - 3y = -13 ⇒ multiply through by -1 ⇒ -x + 3y = 13 Add this to the first equation

-x + 3y = 13

x - y = -1

2y = 12 Divide both sides by 2

y = 6

To find y substitute 6 for y in the equation x - y = -1

x - 6 = -1 Add 6 to both sides

x = 5

(5,6)