Solve F/a=ell

$$\frac { F } { a } = \ell$$

Solve for a

$$\left\{\begin{matrix}a=\frac{F}{ℓ}\text{, }&F\neq 0\text{ and }ℓ\neq 0\\a\neq 0\text{, }&ℓ=0\text{ and }F=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$F=ℓa$$

Swap sides so that all variable terms are on the left hand side.

$$ℓa=F$$

Divide both sides by ℓ.

$$\frac{ℓa}{ℓ}=\frac{F}{ℓ}$$

Dividing by ℓ undoes the multiplication by ℓ.

$$a=\frac{F}{ℓ}$$

Variable a cannot be equal to 0.

$$a=\frac{F}{ℓ}\text{, }a\neq 0$$

Solve for F

$$F=aℓ$$

$$a\neq 0$$

Solution Steps

Multiply both sides of the equation by a.

$$F=ℓa$$