Solve F/h=Q+t/t

$$\frac { F } { h } = \frac { Q + t } { t }$$

Solve for F

$$F=\frac{h\left(t+Q\right)}{t}$$

$$h\neq 0\text{ and }t\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ht, the least common multiple of h,t.

$$tF=h\left(Q+t\right)$$

Use the distributive property to multiply h by Q+t.

$$tF=hQ+ht$$

The equation is in standard form.

$$tF=ht+Qh$$

Divide both sides by t.

$$\frac{tF}{t}=\frac{h\left(t+Q\right)}{t}$$

Dividing by t undoes the multiplication by t.

$$F=\frac{h\left(t+Q\right)}{t}$$

Solve for Q

$$Q=\frac{t\left(F-h\right)}{h}$$

$$h\neq 0\text{ and }t\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ht, the least common multiple of h,t.

$$tF=h\left(Q+t\right)$$

Use the distributive property to multiply h by Q+t.

$$tF=hQ+ht$$

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

$$hQ+ht=tF$$

Subtract ht from both sides.

$$hQ=tF-ht$$

The equation is in standard form.

$$hQ=Ft-ht$$

Divide both sides by h.

$$\frac{hQ}{h}=\frac{t\left(F-h\right)}{h}$$

Dividing by h undoes the multiplication by h.

$$Q=\frac{t\left(F-h\right)}{h}$$