MCQMathematics

NCERT · Class 9 · Mathematics · Linear Equations in Two VariablesWhich of the following is a linear equation in two variables?

Step-by-Step Solution

A linear equation in two variables is an equation that can be written in the form $ax + by + c = 0$, where $a, b,$ and $c$ are real numbers and $a \neq 0, b \neq 0$, and the degrees of both variables $x$ and $y$ are 1. Looking at the options, $2x + 3y = 5$ satisfies this definition.

Detailed Options Breakdown
Option : $x^2 + y = 5$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in Two Variables.

Option 1: $2x + 3y = 5$ (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 2: $xy + 3 = 0$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in Two Variables.

Option 3: $x + 5 = 0$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in Two Variables.

💡 Study Guide: This question tests core syllabus concepts from Linear Equations in Two Variables. For formulas, key summaries, and mock exam reference guides, read the full Linear Equations in Two Variables Revision Notes.
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