Question

Z=a+b/ma solve for a
how do you solve this??​

Answer 1

To solve the equation
`\displaystyle\sf z = (a+b)/(m\cdot a)` for
`\displaystyle\sf a`, we can follow these steps:

1. Multiply both sides of the equation by
`\displaystyle\sf m\cdot a` to eliminate the denominator:

`\displaystyle\sf z\cdot m\cdot a = a+b`

2. Distribute
`\displaystyle\sf z\cdot m` to both terms on the right side of the equation:

`\displaystyle\sf z\cdot m\cdot a = a+z\cdot m\cdot b`

3. Move all terms containing
`\displaystyle\sf a` to one side of the equation and all other terms to the other side:

`\displaystyle\sf z\cdot m\cdot a - a = z\cdot m\cdot b`

4. Factor out
`\displaystyle\sf a` from the left side of the equation:

`\displaystyle\sf a\cdot (z\cdot m - 1) = z\cdot m\cdot b`

5. Divide both sides of the equation by
`\displaystyle\sf z\cdot m - 1` to solve for
`\displaystyle\sf a`:

`\displaystyle\sf a = (z\cdot m\cdot b)/(z\cdot m - 1)`

Therefore, the solution for
`\displaystyle\sf a` is
`\displaystyle\sf (z\cdot m\cdot b)/(z\cdot m - 1)`.