Solve 3m-n/2=m-8/3

$$\frac{ 3m-n }{ 2 } = \frac{ m-8 }{ 3 }$$

Solve for m

$$m=\frac{3n-16}{7}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3m-n\right)=2\left(m-8\right)$$

Use the distributive property to multiply 3 by 3m-n.

$$9m-3n=2\left(m-8\right)$$

Use the distributive property to multiply 2 by m-8.

$$9m-3n=2m-16$$

Subtract 2m from both sides.

$$9m-3n-2m=-16$$

Combine 9m and -2m to get 7m.

$$7m-3n=-16$$

Add 3n to both sides.

$$7m=-16+3n$$

The equation is in standard form.

$$7m=3n-16$$

Divide both sides by 7.

$$\frac{7m}{7}=\frac{3n-16}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$m=\frac{3n-16}{7}$$

Solve for n

$$n=\frac{7m+16}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3m-n\right)=2\left(m-8\right)$$

Use the distributive property to multiply 3 by 3m-n.

$$9m-3n=2\left(m-8\right)$$

Use the distributive property to multiply 2 by m-8.

$$9m-3n=2m-16$$

Subtract 9m from both sides.

$$-3n=2m-16-9m$$

Combine 2m and -9m to get -7m.

$$-3n=-7m-16$$

Divide both sides by -3.

$$\frac{-3n}{-3}=\frac{-7m-16}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$n=\frac{-7m-16}{-3}$$

Divide -7m-16 by -3.

$$n=\frac{7m+16}{3}$$