Solving the Formula P = a + 3b + 2c for the Variable 'a'

In high school mathematics, you may encounter various formulas that relate different variables. One such formula is P = a + 3b + 2c, where P, a, b, and c are variables. If you need to solve this formula for the variable 'a', you can follow these steps:

Step 1: Identify the variables

The formula P = a + 3b + 2c has four variables: P, a, b, and c. We need to solve for the variable 'a'.

Step 2: Isolate the variable 'a'

To solve for 'a', we need to isolate it on one side of the equation. We can do this by subtracting the terms that do not contain 'a' from both sides of the equation.

P = a + 3b + 2c Subtract 3b and 2c from both sides: P - 3b - 2c = a + 3b + 2c - 3b - 2c P - 3b - 2c = a

Step 3: Simplify the equation

The equation is now in the form: P - 3b - 2c = a

This means that to find the value of 'a', we need to subtract the values of 3b and 2c from the value of P.

Step 4: Substitute the known values

If you have the specific values for P, b, and c, you can substitute them into the equation and solve for 'a'.

For example, if P = 20, b = 2, and c = 3, the equation would become: 20 - 3(2) - 2(3) = a 20 - 6 - 6 = a 8 = a

Therefore, the value of 'a' is 8.

By following these steps, you can solve the formula P = a + 3b + 2c for the variable 'a' and find the value of 'a' based on the given information.