Question

Using the properties of equality, find the solution to the equation 2f5−85+2f=8 .(1 point)
Responses

83
Start Fraction 8 over 3 End Fraction

4
4

12
12

166

Answer 1

Let's solve the equation step by step:

The equation is:

\[ 2f5 - 85 + 2f = 8 \]

First, let's clarify what \(f5\) means. If we interpret \(f5\) as \(f \cdot 5\), then the equation can be rewritten as:

\[ 2(5f) - 85 + 2f = 8 \]

This simplifies to:

\[ 10f - 85 + 2f = 8 \]
\[ 12f - 85 = 8 \]

Next, add 85 to both sides of the equation:

\[ 12f - 85 + 85 = 8 + 85 \]
\[ 12f = 93 \]

Now, divide both sides by 12:

\[ f = \frac{93}{12} \]

To simplify \(\frac{93}{12}\):

\[ f = \frac{31}{4} \]

This can also be expressed as:

\[ f = 7.75 \]

However, it seems there was a misunderstanding with the options given. Let's verify if any of the options match this answer:

- 83
- \( \frac{8}{3} \) (approximately 2.67)
- 4
- 12
- 166

None of these match \( \frac{31}{4} \) or 7.75.

Please double-check the equation provided and the meaning of \(f5\). If it stands for something else, let me know, and we can solve it together accordingly.