Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Solve the following pair of linear equations by the substitution method: $x+y=7$, $x-y=1$.
Step-by-Step Solution
Key Concept: Express one variable in terms of the other from one equation, then substitute into the second.
From the first equation, $x=7-y$. Substituting into the second: $(7-y)-y=1\Rightarrow 7-2y=1\Rightarrow y=3$. [1.0 Mark]
$x=7-3=4$. So $x=4,\ y=3$. [1.0 Mark]
Correct Answer:
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