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Pair of Linear Equations in Two Variables
RD Sharma
CBSE
Grade 10

Question:

Solve by substitution method:
$x + y = 14$ and $x - y = 4$.

Step-by-Step Solution

Key Concept: From 2nd, $x = y + 4$. Substitute in 1st: $y + 4 + y = 14 \Rightarrow 2y = 10 \Rightarrow y = 5, x = 9$.
From 2nd: $x = y + 4$. Substitute in 1st: $(y + 4) + y = 14 \Rightarrow 2y = 10 \Rightarrow y = 5$. [1.0 Mark]
$x = 5 + 4 = 9$. Solution is $x = 9, y = 5$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Substitution and finding $y = 5$: 1.0 Mark
Finding $x = 9$: 1.0 Mark

Correct Answer:
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