ana begins to solve a linear equation that results in a variable expression set equal to the same variable expression
Which is the best interpretation of this solution?
The equation has one solution: x=0.
The equation has one solution: x-1.
The equation has no solution.
The equation has infinite solutions.

Question

23-04-2024
Mathematics

Answered

ana begins to solve a linear equation that results in a variable expression set equal to the same variable expression
Which is the best interpretation of this solution?
The equation has one solution: x=0.
The equation has one solution: x-1.
The equation has no solution.
The equation has infinite solutions.

Answer :

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The equation has infinite solutions. Explanation: 1. When Ana solved the linear equation resulting in a variable expression set equal to the same variable expression, it means that the equation simplifies to something like x = x. This type of equation is known as an identity. 2. An identity equation like x = x is true for all real numbers of x. This means that no matter what value x takes, the equation remains true. Therefore, there are infinite solutions to this type of equation. In conclusion, the best interpretation of this solution is that the equation has infinite solutions because it simplifies to an identity where x can take on any real number value.