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

Responses

12
12

83
Start Fraction 8 over 3 End Fraction

4
4

166

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

To solve the equation \( 2f + 2 \times 5 - 85 + 2f = 8 \), we will first simplify it.

1. Combine like terms:

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

This simplifies to:

\[
4f - 75 = 8
\]

2. Now, we will add 75 to both sides of the equation to isolate the term with \( f \):

\[
4f - 75 + 75 = 8 + 75
\]

Simplifying this gives:

\[
4f = 83
\]

3. Finally, we divide both sides by 4 to solve for \( f \):

\[
f = \frac{83}{4}
\]

4. Evaluating this, we get:

\[
f = 20.75
\]

Thus, the answer is:

**The correct response is:** \( 83/4 \) or \( \frac{83}{4} \)