Solve for k

[nycmath]

Solve for k.

3k - 5 = 40

The goal is to isolate k on one side of the equation.

We begin by adding 5 on both sides.

3k - 5 + 5 = 40 + 5

3k + 0 = 45

3k = 45

At this point, there are two options:

A. Divide both sides by the coefficient of k.

B. Multiply both sides by the reciprocal of the coefficient of k.

I will do A and B.

A Method:

3k = 45

3k/3 = 45/3

k = 15

The answer is 15.

B Method:

3k = 45

(1/3)(3k) = (1/3)(45)

k = 15

So, both methods lead to the correct answer of 15.

Now, you try one.

Solve for p.

5p + 40 = 80