Answer:
k = (p -2)/5
Explanation:
You want to make k the subject of the formula p = 5k +2.
Operations
The operations done to k are ...
Solution
To solve for k, we undo these operations in reverse order.
Subtract 2 to undo the addition.
p = 5k +2 . . . . . . . . . . given
p -2 = 5k +2 -2 . . . . . . subtract 2 from both sides
p -2 = 5k . . . . . . . . . simplify
Divide by 5 to undo the multiplication.
(p -2)/5 = (5k)/5 . . . . . divide both sides by 2
(p -2)/5 = k . . . . . . . . simplify
Writing this with k as the subject, we have ...
k = (p -2)/5
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