Solve the system of equations.

x + 3y = - 1

2x + 2y = 6

(-4, 1)

(2, - 1)

(4, - 1)

(5, - 2)

x + 3y = - 1

2x + 2y = 6

x + 3y = - 1

x + 3y - 3y = - 1 + 3y

x = - 1 + 3y

2x + 2y = 6

2 (-1 - 3y) + 2y = 6

-2 - 6y + 2y = 6

-2 - 4y = 6

-2+2 - 4y = 6+2

-4y = 8

-4y/-4 = 8/-4

y = - 2

2x + 2y = 6

2x + 2 (-2) = 6

2x + - 4 = 6

2x - 4 + 4 = 6+4

2x = 10

2x/2 = 10/2

x = 5

Check

2x + 2y = 6

2 (5) + 2 (-2) = 6

10 + - 4 = 6

6 = 6

So the answer is (5,2)