Solve for x to determine if the equation has one, none, or infinite solutions.

A. The equation has infinite solutions.
B. The equation has one solution: x = -20.
C. The equation has one solution: x = 0.
D. The equation has no solution.

1 answer

To determine if the equation has one, none, or infinite solutions, you would typically start with a specific equation to analyze. However, since no equation is provided, I’ll walk you through the general steps to analyze any linear equation:

  1. Identify the Equation: Make sure to clearly write down the equation you need to solve.

  2. Simplify the equation if necessary. Combine like terms and simplify each side.

  3. Isolate the variable (x): Move terms involving x to one side of the equation and constants to the other side.

  4. Solve for x: Perform algebraic operations to solve for x.

  5. Analyze the solution:

    • If you obtain a specific value for x (like x = -20 or x = 0), then the equation has one solution.
    • If you end up with a true statement (like 0 = 0) after simplifying, the equation has infinite solutions.
    • If you end up with a false statement (like 0 = 5), then the equation has no solution.

Without a specific equation, I can't tell you which option applies. If you provide the equation, I can solve it for you!