Use the elimination method to solve the system of equations. Choose the correct ordered pair. -x + y = -2 2x - 3y = 4 A. (3, 1) B. (4, 2) C. (2, 0) D. (5, 3)

Question

asked Dec 23, 2021 47.0k views

1 Answer

Maha Lak · Answer 1 · 2021-12-27T19:38:59+0000

Answer:

C. (2, 0)

Explanation:

-x + y = -2

2x - 3y = 4

Multiply both sides of the first equation by 2.

Write the second equation below it and add them.

-2x + 2y = -4

(+) 2x - 3y = 4

----------------------------

-y = 0

y = 0

Start again with the original equations.

Multiply both sides of the first equation by 3. Write the second original equation below it and add them.

-3x + 3y = -6

(+) 2x - 3y = 4

-------------------------

-x = -2

x = 2

Answer: C. (2, 0)