Expressing P as a function of Q

Question

Q as a function of P:

1) Q = 25 - P

2) Q = 12 - 3P

3) 6Q = 14 - 2P

I need help expressing those ^ above as P as a function of Q

Answer 1

Currently these equations are in terms of Q as a function of P. To get P as a function of Q do the following:

1) Q = 25 - P

Q - 25 = -P (subtract 25 from both sides.)

25 - Q = P (Divide both sides by -1.)

2) Q = 12- 3P

Q-12 = -3P (subtract both sides by 12.)

(Q-12)/-3 = P (Divide both sides by -3.)

4 - (Q/3) = P (Simplify the previous expression dividing both 12 and Q by -3.)

3) 6Q = 14 - 2P

6Q -14 = -2P (subtract 14 from both sides.)

(6Q - 14)/-2 = P (Divide both sides by -2.)

7 - 3Q = P (Simplify the equation.)

Hope this helps!