SOLUTION: One number is two less than a second number. Six times the first is 44 more than 4 times the second. Find the numbers. The value of the first number is

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Question 1107287: One number is two less than a second number. Six times the first is 44 more than 4 times the second. Find the numbers.
The value of the first number is

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One number is two less than a second number.
x = y - 2
Six times the first is 44 more than 4 times the second.
6x = 4y + 44
simplify, divide by 2
3x = 2y + 22
replace x with (y-2)
3(y-2) = 2y + 22
3y - 6 = 2y + 22
3y - 2y = 22 + 6
y = 28 is the second number
and
x = 28 - 2
x = 26 is the first number