Solve 9/k-7=6/k

$$\frac { 9 } { k - 7 } = \frac { 6 } { k }$$

Solve for k

$$k=-14$$

Steps for Solving Linear Equation

Variable k cannot be equal to any of the values 0,7 since division by zero is not defined. Multiply both sides of the equation by k\left(k-7\right), the least common multiple of k-7,k.

$$k\times 9=\left(k-7\right)\times 6$$

Use the distributive property to multiply k-7 by 6.

$$k\times 9=6k-42$$

Subtract 6k from both sides.

$$k\times 9-6k=-42$$

Combine k\times 9 and -6k to get 3k.

$$3k=-42$$

Divide both sides by 3.

$$k=\frac{-42}{3}$$

Divide -42 by 3 to get -14.

$$k=-14$$