Question

Consider the following equation:

2 over 3x−5=27

What is the first step in solving this equation?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the given equation, the first step is to isolate the variable term.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The first step in solving this equation is to eliminate any denominators by multiplying both sides of the equation by the least common multiple (LCM) of the denominators. In this case, the denominator is 3x - 5, so we need to multiply both sides by (3x - 5) to clear the fraction.

Answer 3

[AI-generated answer — Explain Bot]

The first step in solving this equation is to isolate the variable, x, which means getting it alone on one side of the equation.

To do this, you start by multiplying both sides of the equation by the denominator of the fraction, which in this case is (3x - 5). Multiplying the entire equation by the denominator will eliminate the fraction.

Here's how you do it:

1. Start with the equation: 2 / (3x - 5) = 27

2. Multiply both sides of the equation by (3x - 5):
(3x - 5) * (2 / (3x - 5)) = 27 * (3x - 5)

On the left side, the (3x - 5) terms cancel each other out, leaving just the 2:
2 = 27 * (3x - 5)

Now, you can proceed with solving the equation.