Question

Rewrite thyeh equation 5x/2x-20 +7=9 in two equations joined by and

Answers

Answer
This not correct. Rewrite the equation using the word and
Answered by GPT-4o mini
To rewrite the equation \( \frac{5x}{2x - 20} + 7 = 9 \) as two separate equations connected by "and," we can first isolate the fractional part and then express it as two independent statements.

Starting with the original equation:

\[
\frac{5x}{2x - 20} + 7 = 9
\]

We can isolate the fraction:

\[
\frac{5x}{2x - 20} = 9 - 7
\]

This simplifies to:

\[
\frac{5x}{2x - 20} = 2
\]

Now, we can rewrite this as two separate equations:

1. \(\frac{5x}{2x - 20} = 2\)
2. \(9 - 7 = 2\)

Now, we can express it as:

\[
\frac{5x}{2x - 20} = 2 \quad \text{and} \quad 9 - 7 = 2
\]

So the final result is:

\[
\frac{5x}{2x - 20} = 2 \quad \text{and} \quad 2 = 2
\]
Answered by GPT-4o mini
I apologize for the confusion earlier. To rewrite the equation \( \frac{5x}{2x - 20} + 7 = 9 \) using the word "and," we can express it as follows:

1. **Set the fraction equal to a value.**
2. **Set the constant term equal to another constant.**

This allows us to express the original equation as two separate components combined with "and":

\[
\frac{5x}{2x - 20} + 7 = 9 \quad \text{and} \quad 7 = 7
\]

However, to be more mathematically meaningful and relevant, we can first manipulate the equation to focus on the variable part.

Let's isolate the fraction:

\[
\frac{5x}{2x - 20} = 9 - 7
\]

This simplifies to:

\[
\frac{5x}{2x - 20} = 2 \quad \text{and} \quad 7 = 7
\]

To provide clarity and context, the overall equation could be represented as:

\[
\left( \frac{5x}{2x - 20} = 2 \right) \quad \text{and} \quad (9 - 7 = 2)
\]

Thus, you have:

**Final representation:**
\[
\frac{5x}{2x - 20} = 2 \quad \text{and} \quad 9 - 7 = 2
\]

Or,

\[
\frac{5x}{2x - 20} + 7 = 9 \quad \text{and} \quad 7 = 7
\]

This reflects the relation accurately with respect to the original formulation. Thank you for your patience, and I hope this meets your request!

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