SOLUTION: The difference between the first number and two times the second number is -54, while the sum of three times the first number plus twice the second is 94. What is the first number?

Question 1006171: The difference between the first number and two times the second number is -54, while the sum of three times the first number plus twice the second is 94. What is the first number?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers x and y. Then, from the facts we have
x - 2y = -54 and
3x + 2y = 94
Let's add these equations and get
4x = 40 so that
x = 10
We then substitute into either equation (I'll use the 2nd one)
3(10) + 2y = 94
30 + 2y = 94
2y = 64
y = 32
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