Respuesta :

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:

[tex]\displaystyle m=\frac{g-5}{3+a}[/tex]

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:

[tex]g - 3m=am+5[/tex]

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;

[tex]-g + 3m=-am-5[/tex]

Add am:

[tex]-g + 3m+am=-5[/tex]

Add g:

[tex]3m+am=-5+g[/tex]

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

[tex]m(3+a)=g-5[/tex]

Dividing by 3+a:

[tex]\mathbm{\displaystyle m=\frac{g-5}{3+a}}[/tex]