Solve 6a-5b=12

$$6 a - 5 b = 12$$

Solve for a

$$a=\frac{5b}{6}+2$$

Steps for Solving Linear Equation

Add 5b to both sides.

$$6a=12+5b$$

The equation is in standard form.

$$6a=5b+12$$

Divide both sides by 6.

$$\frac{6a}{6}=\frac{5b+12}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$a=\frac{5b+12}{6}$$

Divide 12+5b by 6.

$$a=\frac{5b}{6}+2$$

Solve for b

$$b=\frac{6\left(a-2\right)}{5}$$

Steps for Solving Linear Equation

Subtract 6a from both sides.

$$-5b=12-6a$$

Divide both sides by -5.

$$\frac{-5b}{-5}=\frac{12-6a}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$b=\frac{12-6a}{-5}$$

Divide 12-6a by -5.

$$b=\frac{6a-12}{5}$$