Question

solve for k.
27k = 513
k =
submit

Explanation:

Step1: Isolate k by dividing both sides by 27

To solve for \( k \) in the equation \( 27k = 513 \), we divide both sides of the equation by 27. This is based on the division property of equality, which states that if \( a = b \), then \( \frac{a}{c} = \frac{b}{c} \) (where \( c
eq 0 \)). So we have:

$$ k=\frac{513}{27} $$

Step2: Calculate the division

Now we perform the division \( \frac{513}{27} \). Let's do the division: 27 times 19 is 513 (because \( 27\times19 = 27\times(20 - 1)=27\times20-27\times1 = 540 - 27 = 513 \)). So:

$$ k = 19 $$

Answer:

\( k = 19 \)