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प्रश्न
On comparing the ratios `bb(a_1/a_2, b_1/b_2)` and `bb(c_1/c_2)`, find out whether the following pair of linear equations are consistent, or inconsistent.
`3/2x + 5/3y = 7` ; 9x - 10y = 14
बेरीज
उत्तर
`3/2x + 5/3y = 7`
9x - 10y = 14
`a_1/a_2 = (3/2)/9 = 1/6,`
`b_1/b_2= (5/3)/-10=(-1)/6,`
`c_1/c_2 = 7/14 = 1/2`
Here `a_1/a_2!=b_1/b_2`
∴ `a_1/a_2 ≠ b_1/b_2`
Since `a_1/a_2 ≠ b_1/b_2`, these lines intersect and hence the pair of linear equations is consistent.
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