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

To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) in two equations joined by "and," we can first isolate the fraction and then represent each part as separate equations. Here is one way to do that:

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

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

3. Now, we can split it into two equations:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]

Thus, the rewritten form is:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]