Solve the equation. Check your answer.

k-1/ 4 = 12

1 answer

To solve the equation, we will isolate the variable k.

First, let's get rid of the fraction by multiplying both sides of the equation by 4:
4 * (k - 1/4) = 4 * 12

This simplifies to:
k - 1 = 48

Next, let's isolate k by adding 1 to both sides of the equation:
k - 1 + 1 = 48 + 1

This simplifies to:
k = 49

To check our answer, we substitute k = 49 back into the original equation:
49 - 1/4 = 12

Simplifying the left side, we have:
48.75 = 12

Since 48.75 is not equal to 12, our solution k = 49 is not valid. Therefore, there is no solution to the equation.
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