Question

Rewrite the following equation into two equations joined by "and"
3x−12
4x
​
+3=10

Answer 1

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

1. \( \frac{3x - 12}{4x} + 3 = 10 \) can be rewritten as:
\( \frac{3x - 12}{4x} = 10 - 3 \)

2. This simplifies to:
\( \frac{3x - 12}{4x} = 7 \)

Now we can express the equation in two parts:

1. \( 3x - 12 = 7 \cdot 4x \)
2. \( \frac{3x - 12}{4x} = 7 \)

Thus, the two equations are:

\( 3x - 12 = 28x \) and \( \frac{3x - 12}{4x} = 7 \)