Question

Solve the following equation for q. 8q + 4p + 4 = 4q – 8. Answer choices are:

q = -2p + 3

q = -2p - 3

q = -p - 3

q = -p + 3

Answer 1

C. q=-p-3

Explanation:

Isolate q and p on one side of the equation.

8q+4p+4-8q=4q-8-8q (subtract 8q from both sides.)

4p+4=-4q-8 (solve.)

4p+4-4=-4q-8-4 (subtract 4 from both sides.)

4p=-4q-12 (Solve.)

4p/4=-4q/4-12/4 (divide by 4 from both sides.)

Solve and simplify.

p=-q-3

Switch sides.

q=-p-3

So, the final answer is (C.) q=-p-3.

Answer 2

q = -p - 3

Explanation:

Subtract 4q from both sides to have the q term on one side, being on the left. Then subtract 4 from both sides.

You should have 4q + 4p = -12

Now you subtract 4p from both sides.

4q = -4p -12

Now divide by 4.

q = -p -3