SOLUTION: one integer is 3 less than 3 times another integer. If the sum of the two integers is 29, what is the smallest integer?

Algebra ->  Triangles -> SOLUTION: one integer is 3 less than 3 times another integer. If the sum of the two integers is 29, what is the smallest integer?      Log On


   

Question 317746: one integer is 3 less than 3 times another integer. If the sum of the two integers is 29, what is the smallest integer?
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = smaller integer
Let y = larger integer

Equation 1: x+y = 29
Equation 2: 3x - 3 = y

Substitute Equation 2 into Equation 1 (i.e. replace y with 3x-3):
x + 3x-3 = 29
4x = 32
x = 8

y = 29-x
y = 29 - 8
y = 21

The integers are 8 and 21.