To rewrite the equation \( \frac{5x}{2x - 20} + 7 = 9 \) in two equations joined by "and", we can first isolate the fraction on one side:
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Start with the original equation: \[ \frac{5x}{2x - 20} + 7 = 9 \]
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Subtract 7 from both sides to isolate the fraction: \[ \frac{5x}{2x - 20} = 9 - 7 \] This simplifies to: \[ \frac{5x}{2x - 20} = 2 \]
Now we can state the two equations:
- \( \frac{5x}{2x - 20} = 2 \)
- \( 9 - 7 = 2 \)
Thus, the rewritten form is: \[ \frac{5x}{2x - 20} = 2 \quad \text{and} \quad 9 - 7 = 2 \]