Question

Solve for b: 4 1/3b+b=6b–10.4

Answer 1

-7 8/10 = b

Step-by-step explanation:

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10. Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies to b( (11/3) + 1 - 6) = 104/10, or

b(11/3 - 15/3) = 104/10, or

b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

-3(104)

(-3/4)(-4/3)b = -------------

4(10)

Then b = -312/40, or -156/20, or -78/10, or -7 8/10 = b

Answer 2

Given b: 4 1/3b+b=6b–10.4, the solution is b = -7.8

Step-by-step explanation:

To solve for b in the given equation, we will follow the steps below:

Combine like terms by adding b to both sides of the equation:

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

Combine the b terms: 4 1/3b + b = 7 1/3b

Move all b terms to one side of the equation:

7 1/3b - 6b = -10.4

Combine the b terms: 1 1/3b = -10.4

Isolate b by dividing both sides of the equation by 1 1/3:

b = -10.4 ÷ (1 1/3)

Convert the mixed fraction to an improper fraction: 1 1/3 = 4/3

Divide: b = -10.4 ÷ 4/3

Invert the denominator and multiply: b = -10.4 x 3/4

Calculate the result: b = -31.2/4 = -7.8

So therefore the solution is b = -7.8