Using the properties of equality, find the solution to the equation 2f5−85+2f=8 .(1 point) Responses 4 4 12 12 166 Start Fraction 16 over 6 End Fraction 83

Answer 1

To solve the equation $2f5-85+2f=8$, we can first clarify the equation a bit since it seems there might be a misunderstanding about the terms.

Let's assume $f5$ means $5f$ (as a coefficient of $f$). Thus, we can rewrite the equation as:

$$2(5f)-85+2f=8$$

Now, simplifying the left side gives us:

$$10f-85+2f=8$$

Combining like terms, we have:

$$(10f+2f)-85=8$$

This simplifies to:

$$12f-85=8$$

Next, we add $85$ to both sides to isolate the term with $f$:

$$12f=8+85$$

This simplifies to:

$$12f=93$$

Now, we divide both sides by $12$ to solve for $f$:

$$f=\frac{93}{12}$$

This can be simplified. The greatest common divisor of $93$ and $12$ is $3$:

$$f=\frac{93÷3}{12÷3}=\frac{31}{4}$$

Thus, $f=7.75$ or $7\frac{3}{4}$.

Since none of the other options in your responses seem to fit the value $7.75$ or $\frac{31}{4}$.

Could you clarify or check the options provided?