To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) into two equations, we can first isolate the fraction part and then create two separate equations.
-
Start by isolating the fraction: \[ \frac{4x}{3x - 12} = 10 - 3 \] Which simplifies to: \[ \frac{4x}{3x - 12} = 7 \]
-
Now you can express this as two equations: \[ \frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0 \]
So the final representation is: \[ \frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0 \]
1 answer