How many solutions does this equation have?
-9 + 18f = 8 + 16f + 3f
no solution
one solution
infinitely many solutions
Question & Answer
How many solutions does this equation have? -9 + 18f = 8 + 16f + 3f
1 Answer
Verified archiveTo 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.