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13 October, 15:10

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
Answers (1)
  1. 13 October, 15:30
    0
    ( - 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)
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