InterviewSolution
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InterviewSolution
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For what values of k is the system of equations `3x -2 (k-1)y =30 and 4x -2y = 35` consistent. |
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Answer» Consider the equations `a_1x + b_1y + c_1=0 and a_2x +b_2y +c_2=0`. If this pair of equation is consistent, `(a_1)/(a_2) ne (b_1)/(b_2)`. For the above equations let `a_1 = 3, b_1=-2(k-1), a_2 =4 and b_2 =-2`. Now, `(3)/(4) ne (-2(k-1))/(-2)` `rArr 4(k-1) ne 3 rArr k ne 7//4` For all values of `k`, except `7//4`, the pair of equations is consistent. |
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