SOLUTION: Can you show me the solution for this please? Solve for x & y: 2x-3y=-1 , x+2y=24

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Question 642034: Can you show me the solution for this please?
Solve for x & y: 2x-3y=-1 , x+2y=24

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Since you said please, I'll do it.
(1) 2x - 3y = -1
(2) x + 2y = 24
Solve (2) for x and substitute into (1) to get
(3) 2(24 - 2y) - 3y = -1
Simplify (3) to get
(4) 48 - 4y - 3y = -1 or
(5) 7y = 49 or
(6) y = 7
Put (6) into (2) to get
(7) x + 2*7 = 24 or
(8) x = 24 - 14 or
(9) x = 10
Check your answer using (1).
Is (2*10 - 3*7 = -1)?
Is (20 - 21 = -1)?
Is ( -1 = -1)? Yes
Answer: The solution pair is (10,7)