Solve 6a-7b=63

$$6 a - 7 b = 63$$

Solve for a

$$a=\frac{7\left(b+9\right)}{6}$$

Steps for Solving Linear Equation

Add 7b to both sides.

$$6a=63+7b$$

The equation is in standard form.

$$6a=7b+63$$

Divide both sides by 6.

$$\frac{6a}{6}=\frac{7b+63}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$a=\frac{7b+63}{6}$$

Divide 63+7b by 6.

$$a=\frac{7b}{6}+\frac{21}{2}$$

Solve for b

$$b=\frac{6a}{7}-9$$

Steps for Solving Linear Equation

Subtract 6a from both sides.

$$-7b=63-6a$$

Divide both sides by -7.

$$\frac{-7b}{-7}=\frac{63-6a}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$b=\frac{63-6a}{-7}$$

Divide 63-6a by -7.

$$b=\frac{6a}{7}-9$$