SOLUTION: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two

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Question 138892: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3Y+4X=24
2Y-2X=2 MULTIPLY THIS EQUATION BY 2 & THEN ADD THESE 2 EQUATIONS:
4Y-4X=4
3Y+4X=24
-------------------------
7Y=28
Y=28/7
Y=4 ANSWER.
3*4+4X=24
12+4X=24
4X=24-12
4X=12
X=12/4
X=3 ANSWER.
PROOF:
2*4-2*3=2
8-6=2
2=2