Question

Which equations are equal to 1/2(4+8x) = 17? Select all that apply.

Answer 1

Hello from MrBillDoesMath!

Discussion:

Given:  (1/2) ( 4 + 8x)   = 17                 => multiply both sides by 2

4 + 8x = 17 * 2 = 34         (*)                 => divide both sides by 2

2 + 4x  = 17                      (**)               => subtract 2 from both sides

4x = 17 - 2 = 15                (***)              => divide both sides by 4

x = 15/4                            (****)

Provided equations:

2 + 4x = 8.5      No cigar. Not equal to (**).

4x = 15              Yes, they are equal. This is (***)

4 + 8x = 34       Yes, they are equal. This is (*)

2 = 17 - 8x         No cigar. 2 = 17-8x => 8x = 15 => x = 15/8 which is not

                         equal to  (****)

Only the second and third choices above are equal.

Thank you,

MrB

Answer 2

Answer:

4+8x = 34

4x= 15

Step-by-step explanation:

1/2(4+8x) = 17

Multiply by 2 on each side

2*1/2(4+8x) = 17*2

(4+8x) = 34  (One solution)

Subtract 4 from each side

4-4 +8x = 34-4

8x = 30

Divide by 2

8x/2 = 30/2

4x= 15  (2nd solution)