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.

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) (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.).
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