Respuesta :

F + 3pi = 7pi
F + 3pi - 3pi = 7pi - 3pi
Combine like terms (3pi + - 3pi = 0)
F = 7pi - 3pi
F = 4pi
The answer is 4pi

Answer:

The value of f is 4π.

Step-by-step explanation:

The given equation is

[tex]f+3\pi=7\pi[/tex]

We need to find the value of f for the above equation.

Isolate f to solve the given equation.

Subtract 3π from both sides of the above equation.

[tex]f+3\pi-3\pi=7\pi-3\pi[/tex]

On combining like terms we get

[tex]f+(3\pi-3\pi)=(7\pi-3\pi)[/tex]

[tex]f=4\pi[/tex]

The value of f is 4π.

Substitute f=4π in the given equation to check the solution.

[tex]4\pi+3\pi=7\pi[/tex]

[tex]7\pi=7\pi[/tex]

[tex]LHS=RHS[/tex]

Therefore the solution is correct.