Solve θ=-4a+b

$$\theta = - 4 a + b$$

Solve for a

$$a=\frac{b-\theta }{4}$$

Steps for Solving Linear Equation

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

$$-4a+b=\theta$$

Subtract b from both sides.

$$-4a=\theta -b$$

Divide both sides by -4.

$$\frac{-4a}{-4}=\frac{\theta -b}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$a=\frac{\theta -b}{-4}$$

Divide \theta -b by -4.

$$a=\frac{b-\theta }{4}$$

Solve for b

$$b=4a+\theta$$

Solution Steps

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

$$-4a+b=\theta$$

Add 4a to both sides.

$$b=\theta +4a$$