Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Without solving, determine whether the pair of equations $x+2y=3$ and $2x+4y=7$ is consistent or inconsistent.
Step-by-Step Solution
Key Concept: Compare the ratios of coefficients.
$\dfrac{a_1}{a_2}=\dfrac{1}{2},\ \dfrac{b_1}{b_2}=\dfrac{2}{4}=\dfrac12,\ \dfrac{c_1}{c_2}=\dfrac{3}{7}$. [1.0 Mark]
Since $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}
eq\dfrac{c_1}{c_2}$, the pair is inconsistent (no solution). [1.0 Mark]
Correct Answer:
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