Answer:
[tex]g=\frac{2m+b}{k}[/tex] ⇒ 2nd answer
[tex]x=\frac{c}{(a+b)}[/tex] ⇒ 1st answer
Step-by-step explanation:
To solve any equation for one of its variable do that:
- Separate the variable on one side and the other terms on the other side
- Make the coefficient of the variable = 1
∵ [tex]\frac{2m+b}{g}=k[/tex]
→ Multiply both sides by g to take g to the right side
∴ [tex]\frac{(2m+b)(g)}{g}=k(g)[/tex]
∴ 2m + b = kg
→ Divide both sides by k, to move k to the left side
∵ [tex]\frac{2m+b}{k}=\frac{kg}{k}[/tex]
∴ [tex]\frac{2m+b}{k}=g[/tex]
→ Switch the two sides
∴ [tex]g=\frac{2m+b}{k}[/tex]
∵ ax + bx = c
→ Take x as a common factor from the both terms on the left side
∴ x(a + b) = c
→ Divide both sides by (a + b) to move it to the right sides
∴ [tex]\frac{x(a+b)}{(a+b)}=\frac{c}{(a+b)}[/tex]
∴ [tex]x=\frac{c}{(a+b)}[/tex]
