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)   (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

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