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Linear Equations in Two Variables — Formula Sheet

Maharashtra Board · Class 10 · Mathematics

12 formulas from Linear Equations in Two Variables (Maharashtra Board Class 10 Mathematics) on one page, grouped by topic.

45 questions25 flashcards12 formulas & key relations5 concepts

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12 Entries · 6 Sections

Formulas and Key Relations

Core Ideas

ax + by + c = 0

x + y = 4

Graphical Method

Choose at least two ordered pairs that satisfy the equation

Elimination Method Revision

Add or subtract equations to remove one variable

Determinants and Cramer's Rule

Determinant value = ad - bc

D = | a1 b1; a2 b2 |

Dx = | c1 b1; c2 b2 |

Dy = | a1 c1; a2 c2 |

x = Dx / D

Linear equations in two variables

Either a or b can be zero, but not both together. For example, y = 2 can be written as 0x + y = 2.

Elimination method revision from the example

After adding, 3x = 6, so x = 2.

Substitute x = 2 into x + y = 4 to get y = 2.

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Frequently Asked Questions

What are the important topics in Linear Equations in Two Variables for Maharashtra Board Class 10 Mathematics?
Key topics in Linear Equations in Two Variables include Linear equations in two variables, Graph of a linear equation in two variables, Simultaneous equations and graphical method, Elimination method revision from the example. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many formulas are in Linear Equations in Two Variables?
This sheet lists 12 formulas from Linear Equations in Two Variables, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Linear Equations in Two Variables for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Linear Equations in Two Variables. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Linear Equations in Two Variables

All Maharashtra Board Class 10 Mathematics Formula Sheet

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