Which ordered pair is the solution to this system of equations?

LaTeX: - x+y=8

-

x

+

y

=

8

LaTeX: y+3x=12

y

+

3

x

=

12

Group of answer choices

(1, 9)

(9, 1)

(5, 13)

(13, 5)

I think the answer is (5,13)

(1, 9)

Step-by-step explanation:

Given the 2 equations

- x + y = 8 → (1)

y + 3x = 12 → (2)

Subtracting (2) from (1) term by term will eliminate the term in y, that is

( - x - 3x) + (y - y) = (8 - 12)

- 4x = - 4 (divide both sides by - 4)

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting in (2)

y + 3 (1) = 12

y + 3 = 12 (subtract 3 from both sides)

y = 9

Solution is (1, 9)