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Linear Equations in Two Variables

Gujarat Board · Class 9 · Mathematics

Flashcards for Linear Equations in Two Variables — Gujarat Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

45 questions20 flashcards4 concepts

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20 Flashcards
Card 1Introduction

What is a linear equation in one variable? Give an example.

Answer

A linear equation in one variable is an equation with only one unknown variable and can be written in the form ax + b = 0, where a ≠ 0. Example: 2x + 5 = 0 or x + 1 = 0. Such equations have a unique s…

Card 2Linear Equations

Define a linear equation in two variables.

Answer

A linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real numbers, and a and b are not both zero. Examples: 2x + 3y = 5, x - 4y + 7…

Card 3Linear Equations

Write the equation 2x + 3y = 4.37 in the standard form ax + by + c = 0 and identify a, b, and c.

Answer

2x + 3y = 4.37 can be written as 2x + 3y - 4.37 = 0. Here, a = 2, b = 3, and c = -4.37.

Card 4Linear Equations

Convert the equation x - 4 = 3y to standard form and identify the coefficients.

Answer

x - 4 = 3y can be written as x - 3y - 4 = 0. Here, a = 1, b = -3, and c = -4.

Card 5Linear Equations

How can you write x = -5 as a linear equation in two variables?

Answer

x = -5 can be written as 1·x + 0·y + 5 = 0 or simply x + 0y + 5 = 0. Here, a = 1, b = 0, and c = 5.

Card 6Linear Equations

Express y = 2 as a linear equation in two variables in standard form.

Answer

y = 2 can be written as 0·x + 1·y - 2 = 0 or simply 0x + y - 2 = 0. Here, a = 0, b = 1, and c = -2.

Card 7Solutions

What is a solution of a linear equation in two variables?

Answer

A solution of a linear equation in two variables is an ordered pair (x, y) of values that satisfies the equation when substituted. For example, (3, 2) is a solution of 2x + 3y = 12 because 2(3) + 3(2)…

Card 8Solutions

Check if (1, 4) is a solution of the equation 2x + 3y = 12.

Answer

Substituting x = 1 and y = 4: 2(1) + 3(4) = 2 + 12 = 14. Since 14 ≠ 12, (1, 4) is NOT a solution of 2x + 3y = 12.

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What are the important topics in Linear Equations in Two Variables for Gujarat Board Class 9 Mathematics?
Linear Equations in Two Variables covers several key topics that are frequently asked in Gujarat Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Equations in Two Variables — Gujarat Board Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
How many flashcards are available for Linear Equations in Two Variables?
There are 20 flashcards for Linear Equations in Two Variables covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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