SOLUTION: The differece between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solutio

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The differece between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solutio      Log On


   

Question 174952: The differece between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solution?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solution?
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EQUATIONS:
x - y = 4
2x^2 + 3y = 53
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Substitute y = x-4 into the 2nd equation to solve for "x":
2x^2 + 3(x-4) = 53
2x^2 + 3x - 65 = 0
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x = [-3 +- sqrt(9 - 4*2*-65)]/4
x = [-3 +- 23]/4
x = [-3 +23]/4 = 5
Then y = x+4 = 9
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Cheers,
Stan H.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solution?
-------
EQUATIONS:
x - y = 4
2x^2 + 3y = 53
-----------------------
Sub y = x-4 into the 2nd eqn
2x^2 + 3(x-4) = 53
2x^2 + 3x - 65 = 0
---
x+=+%28-3+%2B-+sqrt%289+-+4%2A2%2A-65%29%29%2F4+
x = 5, x = -6.5
Only the positive is asked for, so ignore the -6.5
x = 5
y = 9