Question 267695
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