Question

Select all the equations where z=5z=5z, equals, 5 is a solution.

Choose 3 answers:

Choose 3 answers:


(Choice A)

A

8=z+38=z+38, equals, z, plus, 3


(Choice B)

B

z-1=6z−1=6z, minus, 1, equals, 6


(Choice C)

C

20=40\div{z}20=40÷z20, equals, 40, divided by, z


(Choice D)

D

12z=6012z=6012, z, equals, 60


(Choice E)

E

12+z=1712+z=17

Answer 1

A, D and E

Explanation:

A.

`8 = z + 3`

Subtract 3 from both sides

`8 -3 = z + 3-3`

`5 = z`

`z = 5`

B.

`z - 1 = 6`

Add 1 to both sides

`z - 1+1 = 6 + 1`

`z = 7`

C.

`20 = (40)/(z)`

Multiply through by z

`z * 20 = (40)/(z) * z`

`20z = 40`

Divide through by 20

`(20z)/(20) = (40)/(20)`

`z = 2`

D.

`12z = 60`

Divide through by 12

`z = 60/12`

`z = 5`

E

`12 + z = 17`

Subtract 12 from both sides

`-12 + 12 + z = 17 - 12`

`z = 5`

Hence:

A, D and E answers the question