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]