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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: $2x+y=6$ and $3x-2y=2$.

Step-by-Step Solution

Key Concept: Express $y$ in terms of $x$ from the first equation, then substitute into the second.
From the first equation, $y=6-2x$. [1.0 Mark]

Substituting into the second: $3x-2(6-2x)=2\Rightarrow 3x-12+4x=2\Rightarrow 7x=14\Rightarrow x=2$. [1.0 Mark]

$y=6-2(2)=2$. So $x=2,\ y=2$. [1.0 Mark]

Correct Answer:
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