NCERT · Class 10 · Mathematics · Pair of Linear Equations in Two VariablesThe pair of equations $x + y = 14$ and $x - y = 4$ has the solution:
Step-by-Step Solution
Adding both equations: $(x+y) + (x-y) = 14 + 4 \implies 2x = 18 \implies x = 9$.\nSubstituting $x = 9$ into $x + y = 14 \implies 9 + y = 14 \implies y = 5$.\nSo, $x = 9, y = 5$.
Detailed Options Breakdown
Option : $x = 9, y = 5$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $x = 5, y = 9$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 2: $x = 9, y = -5$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 3: $x = -9, y = 5$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
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