To rewrite the equation \(\frac{4x}{3x - 12} + 3 = 10\) in two equations, we can first isolate the fraction and then express it as two separate statements.
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Start by isolating the fraction: \(\frac{4x}{3x - 12} = 10 - 3\)
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Simplifying the right side: \(\frac{4x}{3x - 12} = 7\)
Now you can express the original equation as two equations:
\[ \frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0 \]
The second equation ensures that the denominator is not zero.
So the final result is:
\[ \frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0 \]
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