Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 2x - 3y = 6 3x - y = 2 A) Multiply first equation by 3 and second equation by 2, solution (0, 2). B) Multiply first equation by - 3 and second equation by 2, solution (0, 2). C) Multiply first equation by 3 and second equation by 2, solution (-2, 0). D) Multiply first equation by - 3 and second equation by 2, solution (0, - 2).

Question

Paige Mccoy

Mathematics

20 August, 21:26

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 2x - 3y = 6 3x - y = 2 A) Multiply first equation by 3 and second equation by 2, solution (0, 2). B) Multiply first equation by - 3 and second equation by 2, solution (0, 2). C) Multiply first equation by 3 and second equation by 2, solution (-2, 0). D) Multiply first equation by - 3 and second equation by 2, solution (0, - 2).

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Answers (1)

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Rachel Kent · Answer 1

The answer is D

2x - 3y = 6 multiply this by - 3

3x - y = 2 Multiply this by 2

-6x + 9y = - 18

6x - 2y = 4 Add the 2 equations:-

7y = - 14 so y = - 2

Substitute y = - 2 in second equation:-

3x - (-2) = 2

3x = 2-2 = 0

x = 0

solution is (0,-2)