GRE Quant · Chapter Test
Systems of Equations — 25-Question Test
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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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