Match the description of the one variable equation with the number of solutions it will have.

1 answer

To match descriptions of one-variable equations with the number of solutions they have, we can consider the following common cases:

  1. No Solution:

    • An equation that leads to a contradiction, such as \(x + 3 = x + 5\).
  2. One Solution:

    • A simple equation where the variable can be isolated, such as \(2x - 4 = 10\) which simplifies to \(x = 7\).
  3. Infinitely Many Solutions:

    • An identity that is true for all values of the variable, such as \(3x + 6 = 3(x + 2)\).

If you provide specific descriptions of one-variable equations, I can help match them to the corresponding number of solutions.