SOLUTION: The sum of the three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the third number. Set up a system and find the num
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Question 908080: The sum of the three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the third number. Set up a system and find the numbers.
We are doing a system of 3 equations. The answers are 4, 3, and -1. I need help with setting up the equations and what they are. Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
let's numbers be: first is , second is , and third is
given:
The sum of the three numbers is .
....eq.1
The third number () is the sum of the first () and second ()numbers.
....eq.2
The first number is than the third number .
....eq.3
so, we have system:
....eq.1 ....eq.2 ....eq.3
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start with ....eq.1 and substitute from eq.2
or ......1a
go to ....eq.2 and you will see that ...1a and eq.2 have same values on right side which means
now go to ....eq.3, plug in and find ....eq.3
and, finally go to ....eq.1,plug in and ,than find
