Solve n+1/n=n/n-3

$$\frac { n + 1 } { n } = \frac { n } { n - 3 }$$

Solve for n

$$n = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Variable n cannot be equal to any of the values 0,3 since division by zero is not defined. Multiply both sides of the equation by n\left(n-3\right), the least common multiple of n,n-3.

$$\left(n-3\right)\left(n+1\right)=nn$$

Multiply n and n to get n^{2}.

$$\left(n-3\right)\left(n+1\right)=n^{2}$$

Use the distributive property to multiply n-3 by n+1 and combine like terms.

$$n^{2}-2n-3=n^{2}$$

Subtract n^{2} from both sides.

$$n^{2}-2n-3-n^{2}=0$$

Combine n^{2} and -n^{2} to get 0.

$$-2n-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-2n=3$$

Divide both sides by -2.

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

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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