Question

Given that p = 8+6/q, make q the subject of the formula. ​

Answer 1

To make q the subject of the formula p = 8 + 6/q, subtract 8 from both sides, multiply by q to remove the fraction, and then divide both sides by (p - 8) to isolate q, which results in q = 6/(p - 8).

Step-by-step explanation:

To make q the subject of the formula given that p = 8 + 6/q, we perform algebraic manipulation. Here's the step-by-step process:

1. Start with the original equation: p = 8 + 6/q
2. Subtract 8 from both sides to isolate the term with q: p - 8 = 6/q
3. Multiply both sides by q to get rid of the fraction: q(p - 8) = 6
4. Finally, divide both sides by (p - 8) to solve for q: q = 6/(p - 8)

So, q is the subject of the formula and is equal to 6/(p - 8).