Rewrite the equation 4x/3x−12 +3=10

Question

in two equations joined by “and.”(2 points)

Answer 1

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

1. Subtract \(3\) from both sides:

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

This simplifies to:

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

Now we can rewrite the original equation as two separate equations:

1. \( \frac{4x}{3x - 12} = 7 \)
2. \( 3x - 12 \neq 0 \) (to ensure the denominator isn't zero)

Thus, the final expression is:

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