SOLUTION: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). Three times a larger

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Question 143862: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
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!
3x+4y=24
2x-2y=2 or 2x=2y+2 or x=2y/2+2/2 or x=y+1
3(y+1)+4y=24
3y+3+4y=24
7y=24-3
7y=21
y=21/7
y=3 answer.
3x+4*3=24
3x+12=24
3x=24-12
3x=12
x=12/3
x=4 answer.
proof:
2*4-2*3=2
8-6=2
2=2