Question

4 1/3 times b + b= 6b- 10.4

Answer 1

`b=15.6`

Explanation:

`4(1)/(3)*b+b=6b-10.4`

Convert the fraction to an improper fraction (
`a(b)/(c)= (ac+b)/(c)`):

`(13)/(3) *b+b=6b-10.4`

Simplify multiplication:

`(13b)/(3)+b=6b-10.4`

Now simplify addition (
`x=1x`):

`(13b)/(3)+1b\\\\(13b)/(3)+(1b)/(1)\\\\(13b)/(3)+(3b)/(3) \\\\(16b)/(3)=6b-10.4`

Undo the fraction by multiplying both sides by 3:

`3((16b)/(3))=3(6b-10.4)\\\\16b=18b-31.2`

Subtract 18b from both sides:

`16b-18b=18b-18b-31.2\\\\-2b=-31.2`

Divide both sides by -2 to isolate the variable b:

`(-2b)/(-2)=(-31.2)/(-2) \\\\b=15.6`

The value of b is 15.6.

:Done