How do you solve this equations?

Question

could you help me to choose the right answer?

3w - 13= 1/4(52-12w).

a. 4 1/3 b. -1 c. no solution d. identity

have a good day...

Answer 1

I got A

Answer 2

1) 3w - 13 = 1/4 (52 - 12w)   -divide both sides by 1/4-

2) 12w - 52 = 52 - 12w  -add 12w to each side-

3) 24w - 52 = 52  -add 52 to each side-

4) 24w = 104 -divide both sides by 24-

5) w = 4.333333(repeating)

The answer would be a) 4 1/3

Answer 3

3w-13= 13 - 3w

So, 6w = 26

w = 26/6 = 13/3 = 4 1/3

Answer 4

well if you mean

3w - 13= .25(52-12w)

then it simplifies to

  3w - 13    =  13-3w

+3w                  +3w

  6w - 13    =  13

       +13    = +13

And its pretty simple from here.

Answer 5

First, distribute what's in the parentheses.

3w-13=13-3w

At first glance, it looks like an identity problem. But it is possible to isolate the variable.

6w=26

Divide by the coefficient.

w=26/6=13/3=4 1/3

The answer is A).