The sum of three numbers is 10. Two times the second number minus the first number is equal to 12. The first number minus the second number plus twice the third number equals 7. Find the numbers. Listed in order from smallest to largest, the numbers are

The answer to your question is x = -2, y = 5 and z = 7

Step-by-step explanation:

Data

first number = x

second number = y

third number = z

Process

1.- Write equations to solve this problem

                 x + y + z = 10           Equation l

                 2y - x = 12                Equation ll

                  x - y + 2z = 7           Equation lll

2.- Solve equation ll for x

                x = 2y - 12

3.- Substitute the previous equation in equation l and lll

               (2y - 12) + y + z = 10                     (2y - 12) - y + 2z = 7

                2y - 12 + y + z = 10                       2y - 12 - y + 2z = 7

                3y + z = 10 + 12                             y + 2z = 19

                3y + z = 22

4.- Solve for y and z

                     -2(3y + z = 22)

                          y + 2z = 19

                    -6y - 2z = -44

                       y + 2z = 19

                   -5y   + 0 = -25

                      y = -25/-5

                      y = 5

-Find z

                       5 + 2z = 19

                             2z = 19 - 5

                             2z = 14

                               z = 14/2

                               z = 7

5.- Find x

                  x + 5 + 7 = 10

                  x = 10 - 5 - 7

                 x = -2

a. she will receive a refund of $278.

step-by-step explanation:

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all