SOLUTION: Please help me solve this equation system: 1) Three pieces of 25 centimes and two one-cent coins on a mass of 27 grams. Two pieces of 25 cents and six one-penny pieces on a 32 g

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Question 1090733: Please help me solve this equation system:
1) Three pieces of 25 centimes and two one-cent coins on a mass of 27 grams. Two pieces of 25 cents and six one-penny pieces on a 32 gram mass. Find the mass of a piece of 25 cents and that of a piece of a hundred.

2) Can you check the equation that I did below if its correct and if not help me on that.
A first number increased by 7 is equal to twice a second number. The second number increased by 9 is equal to three times the first. Find these two numbers.
X + 7 = 14
X + 9 = 21
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3X%2B2Y=27
2.2X%2B6Y=32
Multiply 1 by 3 and subtract from 2.
2X%2B6Y-9X-6Y=32-81
-7X=-49
Solve for X then use either equation to solve for Y.
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.
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X%2B7=2Y
1.X-2Y=-7
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Y%2B9=3X
2.3X-Y=9
Multiply 1 by 3 and subtract from 2,
3X-Y-3X%2B6Y=9%2B21
5Y=30
Solve for Y then use either equation to solve for X.