Suppose you're given the formula q = 2o + 6p. If you know that p = o - 7, how could you rewrite the formula?

q = 8o - 42

Step-by-step explanation:

Given: The given formula is q = 2o + 6p.

p = o - 7

Now we have to plug in p = o - 7 in the given formula, we get

q = 2o + 6 (o - 7)

Now we use the distributive property a (b-c) = ab - ac and expand.

q = 2o + 6o - 6 (7)

q = 2o + 6o - 42

Here 2o and 6o are the like terms, we can add them

q = 8o - 42

q = 2o + 6p

p = o - 7

⇒ q = 2o + 6 (o - 7) = 2o + 6o - 6 * 7 = 8o - 42

⇒ q = 8o - 42