Math Problem Statement
This is 10th grade math, Select the correct answer. How many solutions exist for 2x + 1/ = 5? O A. 0 • В. 1 0 с. 2 • D. 3
Solution
To determine how many solutions exist for the equation , let's solve it step by step:
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Start with the given equation:
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Subtract 1 from both sides to isolate the term:
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Divide both sides by 2 to solve for :
Thus, there is 1 solution for this equation: .
The correct answer is:
- B. 1
Would you like further details or have any questions?
Here are 5 related questions:
- How do you solve linear equations with variables on both sides?
- What is the graphical interpretation of solving ?
- How can you check your solution to a linear equation?
- What is the difference between a unique solution and no solution in a linear equation?
- Can an equation have more than one solution? If so, under what conditions?
Tip: Always isolate the variable step by step to avoid mistakes when solving equations.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
2x + 1 = 5
Basic linear equation: ax + b = c
Theorems
Unique solution theorem for linear equations
Suitable Grade Level
Grade 10