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InterviewSolution
| 1. |
What is condition that the pair of linear equations kx+2y=5and 3x+y=1have a unique solution |
| Answer» According to question the given system of equations are3x + y = 1.......(1)and kx + 2y = 5..........(2)Since we know that,The given equations are of the forma1x + b1y + c1= 0 anda2x + b2y + c2 = 0has a unique solution if\xa0{tex}\\frac { a _ { 1 } } { a _ { 2 } } \\neq \\frac { b _ { 1 } } { b _ { 2 } }{/tex}Thus, {tex}\\frac { 3 } { k } \\neq \\frac { 1 } { 2 } \\Rightarrow k \\neq 6{/tex}Thus, k can take any real values except 6 | |