Question

Rewrite the equation 4x/3x−12 , +3=10 in two equations joined by “and.”

Answer 1

To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) in two equations joined by "and," we first isolate the fraction:

1. Start with the original equation:
\[
\frac{4x}{3x - 12} + 3 = 10
\]

2. Subtract 3 from both sides:
\[
\frac{4x}{3x - 12} = 10 - 3
\]
\[
\frac{4x}{3x - 12} = 7
\]

Now we can express this as two equations joined by "and":

- The first equation represents the fraction:
\[
\frac{4x}{3x - 12} = 7
\]

- The second equation represents the rearranged equation:
\[
10 - 3 = 7
\]

Putting it together, we write:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 10 - 3 = 7
\]