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In Mathematics / Middle School | 2014-01-24

Jessica was solving an equation. After she finished simplifying, her result was \( 0 = 2 \). This result confused her.

Explain to Jessica what her result means. Explain your reasoning thoroughly.

Asked by hollyevelyn1

Answer (3)

It means that the equations are not true. The straight lines are always parallel to the X-axis in all cases Therefore, the line doesn't cut the X-axis. This means that: there is no solution to the equation

Answered by Zarah | 2024-06-10

Jessica's result means that any value of x (or any variable she used) would not be a solution to the equation. When something like 0 = 2 comes up, they answer is no solution.
For Your Information:
If you get 2=2 or 0=0 or anything like that, the solutions are all real numbers. Any value of x (or any variable used) will be a solution to the equation.
Please comment to let me know you understand. I hope this was helpful!

Answered by desthermitcrab | 2024-06-12

Jessica's result of 0 = 2 means she has encountered a contradiction, indicating that there is no solution to her equation. This situation typically occurs when the equations are fundamentally incompatible, such as when they represent parallel lines on a graph. Recognizing this helps understand when an error may have occurred in solving an equation.
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Answered by Zarah | 2024-10-02

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