Question

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

166
Start Fraction 16 over 6 End Fraction

12
12

83
Start Fraction 8 over 3 End Fraction

4

Answer 1

To solve the equation \( 2f5 - 85 + 2f = 8 \), let's first clarify the equation because it seems like \( f5 \) is not standard notation. Assuming it means \( 5f \), we rewrite the equation as:

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

which simplifies to:

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

Now, we combine like terms:

\[ 12f - 85 = 8 \]

Next, we isolate \( f \) step by step:

1. Add 85 to both sides:

\[ 12f = 8 + 85 \]

\[ 12f = 93 \]

2. Divide both sides by 12:

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

Simplifying \( \frac{93}{12} \):

- The greatest common divisor (GCD) of 93 and 12 is 3.

\[ f = \frac{93 \div 3}{12 \div 3} = \frac{31}{4} \]

This fraction is equivalent to \( 7.75 \).

However, let's see if any of the response options fit:

- \( \frac{16}{6} = \frac{8}{3} \) is not equal to \( \frac{31}{4} \).
- The rest of the responses do not match either.

Ultimately, the correct answer \( f = \frac{31}{4} \) isn't listed in the multiple-choice answers provided.

If however, you meant something else or if there is a consistent error in the responses then do let me know so I can assist you further.