Question

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)

Answer 1

(- 3, 5 ) edg 2020

Explanation:

Answer 2

(- 3, 5 )

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 )