SOLUTION: The difference between two numbersis 15.When twice the smaller number is subtracted from three times the larger number,the difference is 58.What is the larger number? Pleas

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Question 252328: The difference between two numbersis 15.When twice the smaller number is subtracted from three times the larger number,the difference is 58.What is the larger number? Please help with equation.
Thank you,
Dana
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=15 multiply this equation by -2 & add.
3x-2y=58
-2x+2y=-30
----------------
x=28 ans. for the larger number.
28-y=15
-y=15-28
-y=-13
y=13 ans for the smaller number.
Proof:
3*28-2*13=58
84-26=58
58=58