SOLUTION: Hi I am having a problem answering this question. The sum of two numbers is -1. Five times the first number equals 3 times the second number. Find the two numbers. Could you ple

Algebra ->  Human-and-algebraic-language -> SOLUTION: Hi I am having a problem answering this question. The sum of two numbers is -1. Five times the first number equals 3 times the second number. Find the two numbers. Could you ple      Log On


   

Question 311363: Hi I am having a problem answering this question.
The sum of two numbers is -1. Five times the first number equals 3 times the second number. Find the two numbers.
Could you please help me find the answer and show me how to do it? Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be your numbers.
"sum of two numbers is -1"
1.A%2BB=-1
"Five times the first number equals 3 times the second number"
2.5A=3B
From eq. 1,
A%2BB=-1
Multiply both sides by 5,
5A%2B5B=-5
Now substitute eq. 2 into eq. 1,
3B%2B5B=-5
8B=-5
highlight_green%28B=-5%2F8%29
Then from eq. 2,
5A=3B
5A=3%28-5%2F8%29
highlight_green%28A=-3%2F8%29