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Which equation is the result of collecting the variable terms on one side of the equal sign for an equation that has an infinite number of solutions?

09-1
09-9
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1 Answer

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Final answer:

When an equation has an infinite number of solutions, it means that the equation is true for any value of the variable. To isolate the variable terms on one side of the equal sign, you need to perform appropriate operations. None of the given options represents the equation with an infinite number of solutions.


Step-by-step explanation:

When an equation has an infinite number of solutions, it means that the equation is true for any value of the variable. In this case, we want to collect the variable terms on one side of the equal sign to isolate the variable. Let's say the equation is:

3x + 5 = 3x + 2

To collect the variable terms on one side, we need to subtract 3x from both sides:

(3x + 5) - 3x = (3x + 2) - 3x

Simplifying further, we get:

5 = 2

Since 5 is not equal to 2, this equation does not have an infinite number of solutions. Therefore, none of the given options represents the equation with an infinite number of solutions.


Learn more about Equations with infinite solutions

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