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Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Assertion (A): Substituting $y=5-x$ (obtained from $x+y=5$) into $2x+3y=12$ gives a valid method to solve the pair of equations. Reason (R): This is an application of the substitution method, where one variable is expressed in terms of the other from one equation and substituted into the second equation.
Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. Assertion (A) is true, but Reason (R) is false. Assertion (A) is false, but Reason (R) is true.
Step-by-Step Solution
Key Concept: Direct description of the substitution method as prescribed in the syllabus.
Expressing $y$ in terms of $x$ from the first equation and substituting into the second is indeed valid, so A is true. [0.5 Mark]
R correctly names and describes this exact procedure as the substitution method, so R correctly explains A. [0.5 Mark]
Correct Answer:Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A.
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