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Find the value of k for which the given ...

Find the value of k for which the given system of equations has unique solution : `2x+3y-5=0`, `kx-6y-8=0`

Text Solution

Verified by Experts

`2 x+3 y-5=0 `

`k x-6 y-8=0`

Equation is in the form of:

`a 1 x+b 1 y+c 1=0`

`a 2 x+b 2 y+c 2=0`

where, `a 1=2, b 1=3, c 1=-5 and a 2=k, b 2=-6, c 2=-8`

for unique solution,

`frac{a_{1}}{a_{2}} neq frac{b_{1}}{b_{2}} `

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For the following system of equations determine the value of k for which the given system of equations has a unique solution: 2x+3y-5=0,quad kx-6y-8=0

For the following system of equations determine the value of k for which the given system of equations has a unique solution: 2x+3y-5=0,\ \ \ \ k x-6y-8=0

Knowledge Check

  • For what value of k the following system of equations has a unique solution 2x+3y-5=0, kx-6y-8=0?

    A
    `k=-4`
    B
    `k!=-4`
    C
    `k!=4`
    D
    `k=4`
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