Math Problem Statement

3x+4=-4+3x

Solution

To solve the equation 3x+4=4+3x3x + 4 = -4 + 3x, follow these steps:

  1. Start by subtracting 3x3x from both sides to eliminate the 3x3x terms: 3x+43x=4+3x3x3x + 4 - 3x = -4 + 3x - 3x This simplifies to: 4=44 = -4

  2. This results in a false statement (444 \neq -4). Therefore, the equation has no solution.

This is an inconsistent equation, meaning there is no value of xx that satisfies it.

Would you like more details or have any questions?

Here are 5 related questions to consider:

  1. How can you identify when an equation has no solution?
  2. What does it mean for an equation to be inconsistent?
  3. Can you have equations where all values of xx are solutions?

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Inconsistent Equations

Formulas

Elimination method
Properties of equality

Theorems

No solution theorem for inconsistent equations

Suitable Grade Level

Grades 7-9