Question
Solve the following equation. Check your solution. \( 0 \cdot x=10 \) Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. There is one solution, \( x= \) B. The solution is all real numbers. C. There is no solution.
Ask by Lynch Wade. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There is no solution.
Solution
The equation is 0 · x = 10. Since multiplying any number by 0 results in 0, the equation simplifies to 0 = 10, which is false. Therefore, there is no value of x that makes the equation true.
The correct answer is:
C. There is no solution.
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Simplify this solution Extra Insights
The equation \( 0 \cdot x = 10 \) can be analyzed through the properties of multiplication. Since any number multiplied by zero will yield zero, there is no value of \( x \) that can satisfy the equation. Thus, \( 0 \cdot x \) can never equal 10, indicating that this equation has no solutions. C. There is no solution.
