Question

Z=b+m/a, solve for a

Answer 1

`\boxed{\bold{a \ = \ (m)/(-b \ + \ z) }}`

Step-by-step explanation:

Solve for a: z = b + m / a

[ Step 1: Multiply both sides by a ]

az = ab + m

[ Step 2: Add -ab to both sides ]

az + −ab = ab + m + −ab

−ab + az = m

[ Step 3: Factor out variable a ]

a(−b + z) = m

[ Step 4: Divide both sides by -b + z ]

a(-b + z) / -b + z = m / -b + z

a = m / -b + z

Answer 2

`a=(m)/(z-b)`

Step-by-step explanation:

rewrite the equation so that
`a` is on the left:

`b+(m)/(a) =z`

subtract
`b` from both sides:

`(m)/(a)=z-b`

multiply each term by
`a`:

`(m)/(a) (a)=z(a)-b(a)`

`m=za-ba`

rewrite again so that
`a` is on the left again:

`za-ba=m`

factor

`az-ba=m`

`a(z-b)=m`

divide each term by
`z-b` and simplify

`(a(z-b))/(z-b) =(m)/(z-b)`

`a=(m)/(z-b)`