Solve linear equations and inequalities in one variable, including literal linear equations.
Classify a linear equation as one solution, no solution, or infinitely many solutions
Problem
Classify \(4x~+~2~=~4x~+~9\) as one solution, no solution, or infinitely many solutions.
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What this problem is really about
When matching variable terms appear on both sides, canceling them is only the beginning of the classification. We’ll subtract the shared term with a balanced operation and inspect the constant statement that remains. A true statement would make the original equation an identity, a false statement would make it a contradiction, and a surviving variable term would lead to one specific solution.
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