Question

Make m the subject of g-3m=am+5​

Answer 1

Answer:

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

Step-by-step 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

Answer:

$\displaystyle m=\frac{g-5}{3+a}$

Step-by-step 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:

$\mathbm{\displaystyle m=\frac{g-5}{3+a}}$