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 2x+1=52x + 1 = 5, let's solve it step by step:

  1. Start with the given equation: 2x+1=52x + 1 = 5

  2. Subtract 1 from both sides to isolate the 2x2x term: 2x=512x = 5 - 1 2x=42x = 4

  3. Divide both sides by 2 to solve for xx: x=42=2x = \frac{4}{2} = 2

Thus, there is 1 solution for this equation: x=2x = 2.

The correct answer is:

  • B. 1

Would you like further details or have any questions?

Here are 5 related questions:

  1. How do you solve linear equations with variables on both sides?
  2. What is the graphical interpretation of solving 2x+1=52x + 1 = 5?
  3. How can you check your solution to a linear equation?
  4. What is the difference between a unique solution and no solution in a linear equation?
  5. 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