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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)

User Jstrong
by
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1 Answer

7 votes

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)

User Maha Lak
by
5.4k points