SOLUTION: one number is 3 less than a second number. Twice the second number is 16 less than 4 times the first. Find the smaller of two numbers.

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Question 660400: one number is 3 less than a second number. Twice the second number is 16 less than 4 times the first. Find the smaller of two numbers.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = one number
y = second number
Where,
x = y - 3
2y = 4x - 16
Multiply the first equation by 2 and substitute the second equation into it.
2(x=y-3) : 2x = 2y - 6
2x = (4x - 16) - 6
Combine like terms
2x = 4x - 22
2x - 2x + 22 = 4x - 2x -22 + 22
22 = 2x
22/2 = 2x/2
11 = x