Solve 55:6?q=quadr=

$$55 : 6 ? q = \quad r =$$

Solve for q

$$q=\frac{6r}{55}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{55}{6}q=r$$

Divide both sides of the equation by \frac{55}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{55}{6}q}{\frac{55}{6}}=\frac{r}{\frac{55}{6}}$$

Dividing by \frac{55}{6} undoes the multiplication by \frac{55}{6}.

$$q=\frac{r}{\frac{55}{6}}$$

Divide r by \frac{55}{6} by multiplying r by the reciprocal of \frac{55}{6}.

$$q=\frac{6r}{55}$$

Solve for r

$$r=\frac{55q}{6}$$

Solution Steps

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

$$r=\frac{55}{6}q$$