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. 

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.).