SOLUTION: one number is 3 more than another. the smaller number decreased by four times the larger number is the same as 12 less than six times the larger number. What is the larger number

Question 267695: one number is 3 more than another. the smaller number decreased by four times the larger number is the same as 12 less than six times the larger number. What is the larger number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
one number is 3 more than another.
x = y + 3
or
y = x - 3
:
the smaller number decreased by four times the larger number is the same as 12 less than six times the larger number.
y - 4(x) = 6x - 12
y = 6x + 4x - 12
y = 10x - 12
Replace y with x-3
x - 3 = 10x - 12
-3 + 12 = 10x - x
9 = 9x
x = 1 is the larger number
:
then to check it find y
y = 1 - 3
y = -2
:
Using the 2nd equation:
-2 - 4(1) = 6(1) - 12
-6 = -6

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