Question

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

12
12

4
4

166
Start Fraction 16 over 6 End Fraction

83

Answer 1

To solve the equation \(2f5 - 85 + 2f = 8\), we need to clarify what the expression \(2f5\) represents. It seems that there may be a typographical error. If we assume that \(2f5\) means \(2 \cdot f\) (which could instead represent a variable), then the equation looks like this:

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

Let's simplify the equation step by step.

1. Combine like terms.
\[
2f + 2f - 85 = 8
\]
This simplifies to:
\[
4f - 85 = 8
\]

2. Add 85 to both sides to isolate the term with \(f\).
\[
4f - 85 + 85 = 8 + 85
\]
This simplifies to:
\[
4f = 93
\]

3. Divide both sides by 4 to solve for \(f\).
\[
f = \frac{93}{4}
\]
\[
f = 23.25
\]

Now, checking the options you provided:

12,
4,
\(\frac{16}{6}\),
83.

None of these options directly match \(23.25\), however, we can convert \( \frac{93}{4} \) into either a decimal form or simplified fraction.

If we focus on \( \frac{16}{6} = \frac{8}{3} \) which equals approximately 2.67.

Thus, none of the provided solutions seem to correctly represent the value obtained from solving the equation.

Let me know if the equation should be interpreted differently or if additional context is needed!