Question

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

Answer 1

To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) in two equations joined by "and," we can first isolate the fraction and then set each part equal to its respective requirement. The equation can be rewritten as follows:

1. Isolate the fraction:
\[
\frac{4x}{3x - 12} = 10 - 3
\]
This simplifies to:
\[
\frac{4x}{3x - 12} = 7
\]

2. Therefore, we can write the two equations:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]

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