Question

Please solve quickly! Within 30 minutes would be great!

Please solve for the variable indicated.

A=1/2h(b+B), solve for b

If you could break it down step by step that would be super helpful! I’m very confused. Thank you!

Answer 1

Solve for B:

`B = -b+(5A)/(6h)`

Explanation:

`A=1.2h(b+B)`

Use the distributive property to multiply
`1.2h by b+B`

`A=1.2hb+1.2hB`

Swap sides so that all variable terms are on the left hand side.

`1.2hb+1.2hB=A`

Subtract
`1.2hb` from both sides.

`1.2hB= A - 1.2hb`

The equation is in standard form.

`(6h)/(5) B=-(6bh)/(5) +A`

Divide both sides by
`1.2h`.

`(5*((6h)/(5))B )/(6h) =(5(-(6bh)/(5)+A) )/(6h)`

Dividing by
`1.2h` undoes the multiplication by
`1.2h`.

`B = (5(-(6bh)/(5)+A) )/(6h)`

Divide
`A - (6hb)/(5)` by
`1.2h`.

`B = -b+(5A)/(6h)`

Solve For B:

`B = -b+(5A)/(6h)`