Question

Make m the subject of g-3m=am+5​

Answer 1

m = (g - 5) / (a + 3)

Explanation:

g-3m=am+5​

• Get all the m's on one side.

g - 5 = am + 3m

• Combine the m's into one term, using brackets

g - 5 = (a + 3)m

• Get m on it's own by dividing by a + 3

(g - 5) / (a + 3) = m

Answer 2

`\displaystyle m=(g-5)/(3+a)`

Explanation:

Equation Solving

To solve an equation for a specific variable, we perform a sequence of steps to have that variable isolated or make it the subject of the equation.

We are given the expression:

`g - 3m=am+5`

And it's required to make m the subject of the equation. This means we have to isolate m at the left side of the equation.

First, multiply both sides by -1;

`-g + 3m=-am-5`

Add am:

`-g + 3m+am=-5`

Add g:

`3m+am=-5+g`

The variable m is found in both term, thus we factor it out:

`m(3+a)=g-5`

Dividing by 3+a:

`\mathbm{\displaystyle m=(g-5)/(3+a)}`