Eliminating a Variable

SAT Glossary

When a=c the variable disappears from a linear equation and what remains is a statement about numbers — either false (no solution) or true (all x). The book stresses this is not an error but information: students who reach 0=7 conclude they blundered and restart, burning ninety seconds, when the correct conclusion is 'no solution, done.'

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work). The important thing to understand: reaching a result like $0=7$ is NOT a sign you made an algebra mistake — it's actually valuable INFORMATION telling you the answer is 'no solution.' Students who don't realize this often panic, assume they messed up, and waste time restarting the whole problem from scratch, when the correct move is simply to write down 'no solution' and move on immediately.","aliases":[],"topic":"Course Foundations","priority":"specialized","learningStage":"intermediate","prerequisiteIds":[],"questionCount":0,"curriculumBasis":{"revision":"current-sat-2026","objective":"Course Foundations: The vanishing variable","source":"https://satsuite.collegeboard.org/practice/content-domains"},"id":"Eliminating a Variable","courseId":"sat","publicSeo":true,"seoSlug":"eliminating-a-variable-1xo95j"}

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Eliminating a Variable

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