Question

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

16/6
Start Fraction 16 over 6 End Fraction

4
4

12
12

8/3

Answer 1

To solve the equation \( 2f5 - 85 + 2f = 8 \), let's first clarify our equation. It seems there may be a typo in "f5" – assuming it’s meant to be just a variable \( f \). Let's rewrite the equation as:

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

Now, combine like terms:

\[ 4f - 85 = 8 \]

Now, isolate \( f \) by adding 85 to both sides:

\[ 4f = 8 + 85 \]

\[ 4f = 93 \]

Next, divide both sides by 4 to solve for \( f \):

\[ f = \frac{93}{4} \]

Now, we can check if any of the options correspond to this fraction:

93 divided by 4 gives:

\[ 93 \div 4 = 23.25 \]

Therefore, since the options you provided were:

- \( \frac{16}{6} \)
- \( 4 \)
- \( 12 \)
- \( \frac{8}{3} \)

None of these options are equal to \( \frac{93}{4} \).

However, if the original function in your equation was different, please clarify, so I can help more accurately! As it stands, the solution \( f = \frac{93}{4} \) does not match the options you provided.