Question

7+2f=9+4f
one solution,no solution, or infinitely solutions

Answer 1

To solve the equation \(7 + 2f = 9 + 4f\), we can start by isolating the variable \(f\).

1. Subtract \(2f\) from both sides:
\[
7 = 9 + 4f - 2f
\]
This simplifies to:
\[
7 = 9 + 2f
\]

2. Next, subtract \(9\) from both sides:
\[
7 - 9 = 2f
\]
This simplifies to:
\[
-2 = 2f
\]

3. Finally, divide both sides by \(2\):
\[
f = -1
\]

Since we arrived at a single solution \(f = -1\), the equation has one solution.

Thus, the answer is **one solution**.