Class 10 Maths: Pair of Linear Equations Formulas (PDF) — All Important Formulas Free
Free class 10 maths: pair of linear equations formulas — all 6 key formulas on one page, downloadable as PDF for fast revision before CBSE board exams. No signup.
TL;DR: Free class 10 maths: pair of linear equations formulas — all 6 key formulas on one page, downloadable as PDF for fast revision before CBSE board exams…
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All Pair of Linear Equations formulas for Class 10 Maths (CBSE / NCERT) on one page — fast revision for board exams. 100% free, no login, download as PDF.
Pair of Linear Equations — Key Formulas
| Formula | Expression |
|---|---|
| Graphical solution | Plot both lines; intersection = solution (x, y) |
| Algebraic: substitution | Express one variable, substitute in other; solve |
| Algebraic: elimination | Multiply equations to cancel variable, add/subtract |
| Consistency check (a₁x + b₁y + c₁ = 0) | a₁/a₂ ≠ b₁/b₂ → unique sol; a₁/a₂ = b₁/b₂ ≠ c₁/c₂ → no sol |
| Cross-multiplication | x/(b₁c₂-b₂c₁) = y/(c₁a₂-c₂a₁) = 1/(a₁b₂-a₂b₁) |
| Dependent equations | a₁/a₂ = b₁/b₂ = c₁/c₂ → infinitely many solutions |
FAQs
What are the most important Pair of Linear Equations formulas for Class 10?
This sheet lists all 6 key Pair of Linear Equations formulas from the Class 10 Maths CBSE/NCERT syllabus, ready for quick revision.
Is this Pair of Linear Equations formula sheet free to download?
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