Solve 6a-4b=13/2

$$6 a - 4 b = \frac { 13 } { 2 }$$

Solve for a

$$a=\frac{2b}{3}+\frac{13}{12}$$

Steps for Solving Linear Equation

Add 4b to both sides.

$$6a=\frac{13}{2}+4b$$

The equation is in standard form.

$$6a=4b+\frac{13}{2}$$

Divide both sides by 6.

$$\frac{6a}{6}=\frac{4b+\frac{13}{2}}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$a=\frac{4b+\frac{13}{2}}{6}$$

Divide \frac{13}{2}+4b by 6.

$$a=\frac{2b}{3}+\frac{13}{12}$$

Solve for b

$$b=\frac{3a}{2}-\frac{13}{8}$$

Steps for Solving Linear Equation

Subtract 6a from both sides.

$$-4b=\frac{13}{2}-6a$$

Divide both sides by -4.

$$\frac{-4b}{-4}=\frac{\frac{13}{2}-6a}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$b=\frac{\frac{13}{2}-6a}{-4}$$

Divide \frac{13}{2}-6a by -4.

$$b=\frac{3a}{2}-\frac{13}{8}$$