SOLUTION: this is a question on 3x3 systems i need 3 seperate problems for this one question which is: The sum of three numbers is 57. The second is 3 more than the first. The third is 6 m

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Question 163534: this is a question on 3x3 systems
i need 3 seperate problems for this one question which is:
The sum of three numbers is 57. The second is 3 more than the first. The third is 6 more than the first. Find the numbers. I have no idea how to set this up. Please help. thank you.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First, name your variables.
How about A, B, and C?
Then turn the words into mathematical equations.
.
.
"The sum of three numbers is 57."
1.
.
.
"The second is 3 more than the first."
2.
.
.
"The third is 6 more than the first."
3.
.
.
.
Now substitute eq. 2 and eq. 3 into eq. 1 and solve for A.
1.




.
.
.
Now that you have A you can find B and C using eq. 2 and eq. 3,
2.


.
.
.
3.


.
.
.
Check your answer.



True statement.
Good answers.

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