Question

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

16/6

12

8/3

4

Answer 1

To solve the equation \(2f5 - 85 + 2f = 8\), first, let’s clarify the equation.

Assuming \(f5\) stands for \(5f\), the equation can be rewritten as:

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

Now, simplifying it step by step:

1. Distributing the \(2\):
\[
10f - 85 + 2f = 8
\]

2. Combine like terms:
\[
(10f + 2f) - 85 = 8
\]
\[
12f - 85 = 8
\]

3. Add \(85\) to both sides to isolate terms with \(f\):
\[
12f = 8 + 85
\]
\[
12f = 93
\]

4. Now divide both sides by \(12\):
\[
f = \frac{93}{12}
\]

5. Simplifying \(\frac{93}{12}\):
\[
f = \frac{31}{4} \text{ or } 7.75
\]

This fraction does not appear in the provided options. If we further break it down:

\(\frac{31}{4} = 7.75\) suggests we might have misunderstood the equation or it might have contained a typo, especially with the term \(f5\).

None of the provided options (16/6, 12, 8/3, 4) match the solution I obtained, which is \(7.75\).

If \(f5\) was indeed a typo or has a different correct interpretation, please clarify it! If everything else is fine, and you simply want a fraction equivalent from those options, check \(8/3 \approx 2.67\), which is also not very close.

Nonetheless, if we directly work with possible numerical values from your provided choices, kindly confirm your original equation for absolute accuracy if \(f5\) was interpreted correctly.