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 of the equation and then set up the two parts separately.
-
Isolate the fraction: \[ \frac{5x}{2x - 20} = 9 - 7 \] This simplifies to: \[ \frac{5x}{2x - 20} = 2 \]
-
Now we have two equations: \[ \frac{5x}{2x - 20} = 2 \quad \text{and} \quad 2 = 2 \]
So, we can express it as: \[ \frac{5x}{2x - 20} = 2 \quad \text{and} \quad 2 = 2 \]