Questions: Solve the formula M=3 Q-2 P for the variable Q. Q=(M-2 P)/3 Q=(M+2 P)/3

Solution Steps

To solve the formula \( M = 3Q - 2P \) for the variable \( Q \), we need to isolate \( Q \) on one side of the equation. This involves rearranging the equation to express \( Q \) in terms of \( M \) and \( P \).

1. Start with the equation \( M = 3Q - 2P \).
2. Add \( 2P \) to both sides to get \( M + 2P = 3Q \).
3. Divide both sides by 3 to solve for \( Q \).

We start with the equation given by \( M = 3Q - 2P \). To isolate \( Q \), we first add \( 2P \) to both sides:

\[ M + 2P = 3Q \]

Next, we divide both sides of the equation by 3 to solve for \( Q \):

\[ Q = \frac{M + 2P}{3} \]

Now, we substitute \( M = 10 \) and \( P = 5 \) into the equation:

\[ Q = \frac{10 + 2 \cdot 5}{3} = \frac{10 + 10}{3} = \frac{20}{3} \approx 6.6667 \]

Final Answer