Solve the equation. Check your answer.

Question

k-9/ 2=11

k=

Answer 1

To solve the equation, we start by isolating the variable k.

To do so, we can first multiply both sides of the equation by 2 to get rid of the denominator:

2(k-9)/2 = 11 * 2
k - 9 = 22

Next, we can add 9 to both sides of the equation to isolate k:

k - 9 + 9 = 22 + 9
k = 31

To check our answer, we substitute k = 31 back into the original equation:
(31 - 9)/2 = 11
22/2 = 11
11 = 11

Our answer is k = 31, and it checks out when substituted back into the equation.