Solve 2-n/n-3=-9/2

$$\frac { 2 - n } { n - 3 } = - \frac { 9 } { 2 }$$

Solve for n

$$n = \frac{23}{7} = 3\frac{2}{7} \approx 3.285714286$$

Steps for Solving Linear Equation

Variable n cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 2\left(n-3\right), the least common multiple of n-3,2.

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

Use the distributive property to multiply 2 by 2-n.

$$4-2n=-9\left(n-3\right)$$

Use the distributive property to multiply -9 by n-3.

$$4-2n=-9n+27$$

Add 9n to both sides.

$$4-2n+9n=27$$

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

$$4+7n=27$$

Subtract 4 from both sides.

$$7n=27-4$$

Subtract 4 from 27 to get 23.

$$7n=23$$

Divide both sides by 7.

$$n=\frac{23}{7}$$