7. Solve the equation below. a) (9)/(k-7)=(6)/(k)

To solve the equation $\frac{9}{k-7}=\frac{6}{k}$, we can cross-multiply to get rid of the fractions:<br /><br />$9k = 6(k-7)$<br /><br />Expanding the right side, we have:<br /><br />$9k = 6k - 42$<br /><br />Subtracting $6k$ from both sides, we get:<br /><br />$3k = -42$<br /><br />Dividing both sides by 3, we find:<br /><br />$k = -14$<br /><br />Therefore, the solution to the equation is $k = -14$.