SOLUTION: The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number. I had to turn my book in so I no longer can find the ans

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Question 39763: The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number.
I had to turn my book in so I no longer can find the answer. I am in 8th grade Pre-Algebra
Answer by vidhyak(98) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 2 numbers be x and y
The sum of two numbers is 1457
x + y = 1457 .......eq 1

Four times the first number minus twice the second number is 8.
4x - 2y = 8 .......eq2

Multiply eq1 by 2 and add with eq 2
2x + 2y = 2914
4x - 2y = 8
--------------------------
6x = 2922
x = 2922 / 6 = 487

Substitute x = 487 in either eq1 or eq2
x + y = 1457
487 + y = 1457
y = 1457 - 487
y = 970

The largest number is 970