NCERT · Class 9 · Mathematics · Linear Equations in Two VariablesIf $(2, 1)$ is a solution of the equation $2x + 3y = k$, then the value of $k$ is:
Step-by-Step Solution
Substitute $x = 2$ and $y = 1$ into the equation $2x + 3y = k$. We get $2(2) + 3(1) = k \implies 4 + 3 = k \implies k = 7$.
Detailed Options Breakdown
Option : 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in Two Variables.
Option 1: 6
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in Two Variables.
Option 2: 7 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 8
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.