To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) in two equations joined by "and," we'll first isolate the fraction and then state the resulting equations.
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Starting with the original equation: \[ \frac{4x}{3x - 12} + 3 = 10 \]
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Subtract 3 from both sides: \[ \frac{4x}{3x - 12} = 7 \]
Now we can express this as two separate equations:
- \( \frac{4x}{3x - 12} = 7 \)
- \( 3x - 12 \neq 0 \) (to avoid division by zero, implying \( x \neq 4 \))
Thus, the rewritten form is: \[ \frac{4x}{3x - 12} = 7 \quad \text{and} \quad x \neq 4 \]
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