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).
Accepted Solution
A:
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