Question

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

{2x−y=−12x−4y=8

(7, −5)
(8, 2)
(1, 3)
(−2, −3)

Answer 1

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

Explanation:

Given equation are not presented in proper format. So, let assume the given system of are as below,

2 x - y = -1

2 x -4 y = 8

Now, subtract the second equation from the first, we get

(2 x - y) -(2 x - 4 y) = -1 -8

3 y = -9

y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

2 x - (-3) = - 1

2 x = - 1 + 3

x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)