SOLUTION: Hello, I am trying to translate: The sum of two numbers is fifteen. One less than three times the smaller is equal to the larger. Find the two numbers. Thanks.

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Question 158135This question is from textbook Introductory Algebra
: Hello,
I am trying to translate: The sum of two numbers is fifteen. One less than three times the smaller is equal to the larger. Find the two numbers. Thanks. This question is from textbook Introductory Algebra

Answer by joey_quizan(15) About Me  (Show Source):
You can put this solution on YOUR website!
Sol:

Let say x = smaller number
y = larger number
x + y = 15 , first equation
1 - 3x = y , second equation

substitute value of y in the second equation to the first equation to find x
x + (1 - 3x) = 15
x + 1 - 3x = 15
-2x = 14
x = -7
Substitute value of x to first equation
-7 + y = 15
y = 22
Ans: x = -7
y = 22