Question

Prove without solving that the solution of the equation 7(2x+1)= 13 is not a whole

number.
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Answer 1

The solution to the equation is a fraction and not a whole number.

Step-by-step explanation:

To prove that the solution of the equation 7(2x+1)= 13 is not a whole number, we can start by simplifying the equation:

1. First, distribute 7 to the terms inside the parentheses: 14x + 7 = 13.
2. Next, subtract 7 from both sides: 14x = 6.
3. Then, divide both sides by 14: x = 6/14 = 3/7.

The solution to the equation is x = 3/7, which is a fraction and not a whole number.

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