SOLUTION: The sum of three numbers is 16. Twice the smallest is 2 less than the largest, and the sum of the largest and smallest is 11. Use a linear system in three variables to find the thr

Question 1021455: The sum of three numbers is 16. Twice the smallest is 2 less than the largest, and the sum of the largest and smallest is 11. Use a linear system in three variables to find the three numbers. (Enter solutions from smallest to largest.)

Found 2 solutions by Fombitz, josgarithmetic:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
Substitute 3 into 1,

Then from eq. 2,

Substitute into eq. 3,

and from eq. 3,

3,5,8
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

First and last equations will allow for elimination method to quickly find y.

A simpler system just using last two equations lets you solve for x and z.

Add corresponding members will eliminate z...

YOU can finish, finding z.

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