10.

Solve this system of equations

x = 3z - 5

2x + 2z = y + 16

7x - 5z = 3y + 19

Select the appropriate response:

A) 1, y = - 2, z = 3

B) 5, y = - 4, z = 1

C) 5, y = - 8, z = 6

D) 4, y = - 2, z = 3

D) x = 4, y = - 2, z = 3

Step-by-step explanation:

x = 3z - 5

2x + 2z = y + 16

2 (3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 - --> (A)

7x - 5z = 3y + 19

7 (3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

16z = 3y + 54 - --> (B)

8z = y + 26

16z = 3y + 54

2 (y + 26) = 3y + 54

2y + 52 = 3y + 54

y = - 2

8z = - 2 + 26

8z = 24

z = 3

x = 3 (3) - 5

x = 4