Exemplar problems X — task. Mathematics CBSE, Class 10.

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Is the pair of equations \(x + 2y - 3 = 0\) and \(6y + 3x - 9 = 0\) consistent? Justify your answer.

Answer:

The pair of equations is consistent.

No, because it does not satifies the condition \(\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}\)
No, because it does not satifies the condition \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)
Yes, because it satifies the condition \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)
Yes, because it satifies the condition \(\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}\)

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