Solve t=s-5/6f

$$t = s - \frac { 5 } { 6 } f$$

Solve for f

$$f=\frac{6\left(s-t\right)}{5}$$

Steps for Solving Linear Equation

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

$$s-\frac{5}{6}f=t$$

Subtract s from both sides.

$$-\frac{5}{6}f=t-s$$

Divide both sides of the equation by -\frac{5}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{6}f}{-\frac{5}{6}}=\frac{t-s}{-\frac{5}{6}}$$

Dividing by -\frac{5}{6} undoes the multiplication by -\frac{5}{6}.

$$f=\frac{t-s}{-\frac{5}{6}}$$

Divide t-s by -\frac{5}{6} by multiplying t-s by the reciprocal of -\frac{5}{6}.

$$f=\frac{6s-6t}{5}$$

Solve for s

$$s=\frac{5f}{6}+t$$

Solution Steps

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

$$s-\frac{5}{6}f=t$$

Add \frac{5}{6}f to both sides.

$$s=t+\frac{5}{6}f$$