Question

Make q the subject of the formula 2(q+p) = 1 + 5 q

Answer 1

To make q the subject of the formula 2(q+p) = 1 + 5q, distribute the 2, move the q terms to one side, subtract 1, and divide by 3 to arrive at q = (2p - 1) / 3.

Step-by-step explanation:

To make q the subject of the formula 2(q+p) = 1 + 5q, we need to manipulate the equation algebraically. Here's a step-by-step process:

1. Distribute the 2 on the left side of the equation: 2q + 2p = 1 + 5q.
2. Subtract 2q from both sides to get the q terms on one side: 2p = 1 + 3q.
3. Subtract 1 from both sides to isolate the terms involving q: 2p - 1 = 3q.
4. Divide both sides by 3 to solve for q: q = (2p - 1) / 3.

Now, q is the subject of the original equation.