Solve F_{1}+F_{2}=Fh_{4}

$$F _ { 1 } + F _ { 2 } = F h _ { 4 }$$

Solve for F

$$\left\{\begin{matrix}F=\frac{F_{1}+F_{2}}{h_{4}}\text{, }&h_{4}\neq 0\\F\in \mathrm{R}\text{, }&F_{1}=-F_{2}\text{ and }h_{4}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Fh_{4}=F_{1}+F_{2}$$

The equation is in standard form.

$$h_{4}F=F_{1}+F_{2}$$

Divide both sides by h_{4}.

$$\frac{h_{4}F}{h_{4}}=\frac{F_{1}+F_{2}}{h_{4}}$$

Dividing by h_{4} undoes the multiplication by h_{4}.

$$F=\frac{F_{1}+F_{2}}{h_{4}}$$

Solve for F_1

$$F_{1}=Fh_{4}-F_{2}$$

Solution Steps

Subtract F_{2} from both sides.

$$F_{1}=Fh_{4}-F_{2}$$