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. For what value of k,the pair of linear equations 4x + 2y= -7 and kx + 5y = 8 have no solution.please answer the question ...urjent |
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Answer» ϘႮᎬՏͲᏆϴΝ:-For what value of k,the pair of LINEAR equations 4x + 2y= -7 and KX + 5y = 8 have infinite solution.ᎪΝՏᏔᎬᎡ:-The given system of equations is: 8x + 5y – 9 = 0 kx + 10y – 18 = 0 The above equations are of the form a1 x + b1 y − c1 = 0 a2 x + b2 y − c2 = 0 Here, a1 = 8, b1 = 5, c1 = -9 a2 = k, b2 = 10, c2 = -18 So according to the question, For unique solution, the condition is a1/a2 = b1/b2 = c1/c2 8/k=5/10 = −9/−18 = 1/2 ⇒ k = 16 HENCE, the given system of equations will have infinitely many solutions, if k = 16. |
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