Question

jillana 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 infinite solutions. the equation has one solution: x = 0. the equation has one solution: x = 1. the equation has no solution.

Explanation:

In linear equations, if a variable expression is equal to itself (e.g., \(2x + 3=2x + 3\)), this is an identity. Identities are true for all values of the variable, meaning the equation has infinite solutions. The other options suggest a single solution (either \(x = 0\), \(x = 1\), or no solution), which does not match the case of a variable expression equal to itself.

Answer:

The equation has infinite solutions.