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

LaTeX: x+y=2

x

+

y

=

2

LaTeX: 5x+y=-10

5

x

+

y

=

-

10

Group of answer choices

(5, - 3)

(-3, 5)

(2, 4)

(4, 2)

( - 3, 5)

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

5x + y = - 10 → (2)

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

(5x - x) + (y - y) = ( - 10 - 2)

4x = - 12 (divide both sides by 4)

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (1)

- 3 + y = 2 (add 3 to both sides)

y = 5

Solution is ( - 3, 5)