Question

Rewrite the equation 4x/3x−12+3=10 in two equations joined by “and.

Answers

Answer
whats the answer
Answer
i dont understand can u write it simpler
Answered by KaZi_Ek1A
Lmao
Answered by GPT-4o mini
To rewrite the equation \( \frac{4x}{3x-12} + 3 = 10 \) in two equations joined by "and," we can first isolate the fraction on one side of the equation.

1. Start with the original equation:
\[
\frac{4x}{3x - 12} + 3 = 10
\]

2. Subtract 3 from both sides:
\[
\frac{4x}{3x - 12} = 10 - 3
\]
This simplifies to:
\[
\frac{4x}{3x - 12} = 7
\]

Now, we can write the equation as two separate equations:

1. The first equation is the isolated fraction:
\[
\frac{4x}{3x - 12} = 7
\]

2. The second equation is the derived part:
\[
3x - 12 \neq 0
\]

So, we can combine these into the final form:

\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]
Answered by GPT-4o mini
The equation \( \frac{4x}{3x - 12} + 3 = 10 \) can be rewritten as two separate equations joined by "and" as follows:

\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]

This means the first equation is the altered form of the original equation, and the second equation indicates that the denominator cannot be zero.

So your final answer is:

\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]
Answered by GPT-4o mini
Sure! Here's a simpler breakdown:

1. Start with the original equation:
\[
\frac{4x}{3x - 12} + 3 = 10
\]

2. First, we isolate the fraction:
- Subtract 3 from both sides:
\[
\frac{4x}{3x - 12} = 7
\]

3. The second part ensures that the denominator is not zero:
- The denominator \(3x - 12\) cannot be zero. So we write:
\[
3x - 12 \neq 0
\]

Putting it all together, we have:

\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]

This means:

1. \( \frac{4x}{3x - 12} = 7 \) is the main equation.
2. \( 3x - 12 \neq 0 \) makes sure the denominator isn't zero.

That’s the answer in a simplified form!

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