Question

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

Answer 1

To rewrite the equation \((4x/(3x - 12)) + 3 = 10\) in two equations joined by "and", we can isolate the fraction on one side. Here's how we can do it:

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

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

Now we can write this as two equations:

1. \(\frac{4x}{3x - 12} = 7\)
2. \(\text{and}\) \(3x - 12 \neq 0\) (to avoid division by zero)

So the final result is:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]