Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.

Question

7. (4, , 0)

8. ( , -2, -2)

9. (2, 3, )

10. (-3, -2, )

Answer 1

7 y=2

x+2y-3z = 8,

4+2y-3(0) = 8,

2y=8-4=4,

y=4/2 =2

just plug the 2 given values into the equation and solve for the missing value

8 x=6

x+2(-2) -3(-2)= 8

x-4+6 = 8

x=8-6+4=6

9 z=0

2+2(3)-3z = 8

8-3z = 8

-3z = 0

z = 0/-3 = 0

10 z=-5

-3+2(-2) -3z = 8

-7 -3z = 8

-3z = 15

z = 15/-3 = -5