Question & Answer

How many solutions does this equation have? -9 + 18f = 8 + 16f + 3f

How many solutions does this equation have?
-9 + 18f = 8 + 16f + 3f
no solution
one solution
infinitely many solutions

1 Answer

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Quizzma TeamApril 27, 2025

To solve the equation -9 + 18f = 8 + 16f + 3f, let’s first simplify the right side:

1. Combine like terms on the right:

– 16f + 3f = 19f

– So the equation becomes -9 + 18f = 8 + 19f.

2. Next, rearrange the equation to isolate the variable:

– Subtract 18f from both sides:

– -9 = 8 + 19f – 18f

– Which simplifies to -9 = 8 + f.

3. Now, subtract 8 from both sides:

– -9 – 8 = f

– This simplifies to -17 = f.

So, there is one solution: f = -17.

Therefore, the answer is one solution.