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प्रश्न
Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method
3x – 5y = 20
6x – 10y = 40
उत्तर
3x – 5y = 20
6x – 10y = 40
`a_1/a_2 = 3/6 = 1/2`
`b_1/b_2 = (-5)/-10 = 1/2`
`c_1/c_2 = (-20)/-40 = 1/2`
`a_1/a_2 = b_1/b_2 = c_1/c_2`
Therefore, the given sets of lines will be overlapping each other i.e., the lines will be coincident to each other and thus, there are infinite solutions possible for these equations.
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