Solve q-r-3s=r

$$q - r - 3 s = r$$

Solve for q

$$q=2r+3s$$

Solution Steps

Add r to both sides.

$$q-3s=r+r$$

Combine r and r to get 2r.

$$q-3s=2r$$

Add 3s to both sides.

$$q=2r+3s$$

Solve for r

$$r=\frac{q-3s}{2}$$

Steps for Solving Linear Equation

Subtract r from both sides.

$$q-r-3s-r=0$$

Combine -r and -r to get -2r.

$$q-2r-3s=0$$

Subtract q from both sides. Anything subtracted from zero gives its negation.

$$-2r-3s=-q$$

Add 3s to both sides.

$$-2r=-q+3s$$

The equation is in standard form.

$$-2r=3s-q$$

Divide both sides by -2.

$$\frac{-2r}{-2}=\frac{3s-q}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$r=\frac{3s-q}{-2}$$

Divide -q+3s by -2.

$$r=\frac{q-3s}{2}$$