Question

For each linear equation, indicate whether the equation has no solution, one solution. or infinitely many solutions.
4 (x + 3) = 3x + 2 + x
4x + 12 = 2x + 12 + 2x
3x + 5 + 2x = 12 + 4x
Answered by GPT 3.5
4 (x + 3) = 3x + 2 + x: This equation simplifies to 4x + 12 = 3x + 2 + x which simplifies further to 4x + 12 = 4x + 2. This equation has no solution.

4x + 12 = 2x + 12 + 2x: This equation simplifies to 4x + 12 = 4x + 12. This means the equation has infinitely many solutions.

3x + 5 + 2x = 12 + 4x: This equation simplifies to 5x + 5 = 12 + 4x. This equation has one solution.