Question

shane begins to solve a linear equation that results in a variable expression set equal to the same variable expression. which is the best interpretation of this solution?

• the equation has one solution: ( x = 0 ).
• the equation has one solution: ( x = 1 ).
• the equation has no solution.
• the equation has infinite solutions.

Explanation:

When solving a linear equation that simplifies to a variable expression equal to the identical variable expression (e.g., $2x + 3 = 2x + 3$), this is a true statement for all real values of the variable. This means any value substituted for the variable will satisfy the equation, so there are infinitely many solutions.

Answer:

The equation has infinite solutions.