Module · Algebra
Chapter 13: Systems of Equations
Algebra
4 topics
🎯 1 practice questions
What this chapter covers
The 4 topics below make up Systems of Equations on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
The two core methods
| Substitution | solve one eq for a variable, sub into the other |
|---|---|
| Elimination | scale so one variable cancels, then add |
| Add the equations | often yields x + y directly |
| Subtract the equations | often yields x − y directly |
How many solutions
| One solution | lines cross — different slopes |
|---|---|
| No solution | parallel — same slope, different constant |
| Infinite solutions | same line — one eq is a multiple of the other |
GRE reference
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