Rewrite the equation (4x)/(3x−12)+3=10

Question

in two equations joined by “and.”(2 points)

Answer 1

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.

1. Start by isolating the fraction: $\frac{4x}{3x-12}=10-3$

2. Simplifying the right side: $\frac{4x}{3x-12}=7$

Now you can express the original equation as two equations:

$$\frac{4x}{3x-12}=7\text{and}3x-12\ne 0$$

The second equation ensures that the denominator is not zero.

So the final result is:

$$\frac{4x}{3x-12}=7\text{and}3x-12\ne 0$$