SOLUTION: One number is five more than three times a small one. If four times the larger number is subtracted from twice the smaller one, the result is zero. Find each of the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: One number is five more than three times a small one. If four times the larger number is subtracted from twice the smaller one, the result is zero. Find each of the numbers.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 264216: One number is five more than three times a small one. If four times the larger number is subtracted from twice the smaller one, the result is zero. Find each of the numbers.
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
One number is five more than three times a small one. If four times the larger number is subtracted from twice the smaller one, the result is zero. Find each of the numbers.
Let x be the smaller number and y the larger number. Then we have:
1.) y = 3x + 5
2.) 2x - 4y = 0
Solve these equations simultaneously by substitution.
Substitute 3x + 5 for y from equation 1.) in equation 2.):
2x - 4(3x + 5) = 0
2x - 12x - 20 = 0
10x = -20
x = -2
Now to find y substitute -2 for x in equation 1.).