Solve 1-2q_{2}-1/2q_{1}=0

$$1 - 2 q _ { 2 } - \frac { 1 } { 2 } q _ { 1 } = 0$$

Solve for q_1

$$q_{1}=2-4q_{2}$$

Steps for Solving Linear Equation

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-2q_{2}-\frac{1}{2}q_{1}=-1$$

Add 2q_{2} to both sides.

$$-\frac{1}{2}q_{1}=-1+2q_{2}$$

The equation is in standard form.

$$-\frac{1}{2}q_{1}=2q_{2}-1$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}q_{1}}{-\frac{1}{2}}=\frac{2q_{2}-1}{-\frac{1}{2}}$$

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

$$q_{1}=\frac{2q_{2}-1}{-\frac{1}{2}}$$

Divide -1+2q_{2} by -\frac{1}{2} by multiplying -1+2q_{2} by the reciprocal of -\frac{1}{2}.

$$q_{1}=2-4q_{2}$$

Solve for q_2

$$q_{2}=-\frac{q_{1}}{4}+\frac{1}{2}$$

Steps for Solving Linear Equation

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-2q_{2}-\frac{1}{2}q_{1}=-1$$

Add \frac{1}{2}q_{1} to both sides.

$$-2q_{2}=-1+\frac{1}{2}q_{1}$$

The equation is in standard form.

$$-2q_{2}=\frac{q_{1}}{2}-1$$

Divide both sides by -2.

$$\frac{-2q_{2}}{-2}=\frac{\frac{q_{1}}{2}-1}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$q_{2}=\frac{\frac{q_{1}}{2}-1}{-2}$$

Divide -1+\frac{q_{1}}{2} by -2.

$$q_{2}=-\frac{q_{1}}{4}+\frac{1}{2}$$