SOLUTION: The sum of three numbers is 6. The first, minus the second, plus 4 times the third, is -8. The third, plus 2 times the first, plus the second, is 10. What are the numbers?

Question 475038: The sum of three numbers is 6. The first, minus the second, plus 4 times the third, is -8. The third, plus 2 times the first, plus the second, is 10. What are the numbers?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

Let x,y and z represent the numbers

 x + y + z = 6

 x - y +4z = -8

2x + y + z  = 10



 -x - y - z = -6    |subtracting 1st EQ from 3rd EQ

2x + y + z  = 10

            x = 4



 4 + y + z = 6     |substituting  4 for x

 4 - y +4z = -8

   8 + 5z = -2

        z = -2   and y = 4    (4 + y -2 = 6,  y = 4)

Numbers are: 4 , 4, -2 

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