Question

rewrite the equation 4x/3x-12 + 3 = 10 as two equations joined by "and" enter the smaller number first and use fractions if needed.
4x/3x-12 + 3 = 10 and x ≠ (blank)

Answer 1

To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) as two equations joined by "and," we first isolate the fraction:

1. Subtract 3 from both sides:

\[
\frac{4x}{3x - 12} = 10 - 3
\]

\[
\frac{4x}{3x - 12} = 7
\]

2. Next, we can rewrite this as:

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

The second equation \(3x - 12 \neq 0\) can be simplified to:

\[
x \neq 4
\]

So the final rewritten form is:

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

In terms of your format, this can be expressed as:

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