Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Without solving, determine the nature of solutions of the pair $x-y=2$ and $2x+y=7$.
Step-by-Step Solution
Key Concept: Compare the ratios of coefficients.
$\dfrac{a_1}{a_2}=\dfrac{1}{2}$ and $\dfrac{b_1}{b_2}=\dfrac{-1}{1}=-1$. [1.0 Mark]
Since $\dfrac{a_1}{a_2}
eq\dfrac{b_1}{b_2}$, the pair has a unique solution. [1.0 Mark]
Correct Answer:
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