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

Responses

12
12

166
Start Fraction 16 over 6 End Fraction

4
4

83

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
12 days ago

To solve the equation \( 2f5 - 85 + 2f = 8 \), we first need to clarify the expression. The notation appears unusual, so I'll assume \( f5 \) represents the variable \( f \) multiplied by 5, giving us \( 5f \). The equation can be rewritten as:

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

Now distribute \( 2 \) to \( 5f \):

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

Next, combine the like terms \( 10f + 2f \):

\[ 12f - 85 = 8 \]

Now, add \( 85 \) to both sides to isolate the term with \( f \):

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

Finally, divide both sides by \( 12 \) to solve for \( f \):

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

Simplify that fraction:

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

Since \( \frac{31}{4} = 7.75 \), none of the provided responses match this calculation, suggesting there might be an error in transcription or interpretation of the expression.

If we analyze the potential responses:
- \( 12 \)
- \( 166 \) (possibly misinterpretation of the equation)
- \( 4 \)
- \( 83 \)

None of these match, and \( 7.75 \) isn't in the list either. Please double-check the initial equation to ensure we've interpreted it correctly. If there is no misunderstanding, the solution does not appear in the provided options.