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{:(2x + (k - 2)y = k),(6x + (2k - 1) y =...

`{:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):}`
find the value of k for which system has many solutions

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The correct Answer is:
k = 5
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NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3d
  1. for what values of k the system has infinite solution{:(8x + 5y = 9),(...

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  2. For what value of k will the following system of linear equations have...

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  3. {:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):} find the value of ...

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  4. {:((k - 3)x + 3y = k),(kx + ky = 12):} find the value of k for which ...

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  5. {:(kx + 3y = 3),(12x + ky = 6):} find the value of k for which system...

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  6. {:(kx + 3y = k - 3),(12x + ky = k):} find the value of k for which sys...

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  7. {:(8x + 5y = 9),(kx + 10y = 8):}

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  8. For what value of k, the system of equations 4x + 6y = 11 and 2x + ky ...

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  9. For what value of k, the system of equations 3x + 4y = 6 and 6x + 8y =...

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  10. Find k, such that the system 3x + 5y = 0 and kx + 10y = 0 has a non-ze...

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  11. Obtain the condition for the following system of linear equations to h...

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  12. {:((2a - 1)x + 3y - 5 = 0),(3x + (b - 1) y - 2 = 0):} Find the value o...

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  13. Find the values of p and q for which the following system of linear...

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  14. {:(2x + 3y = 7),((a - 1)x +(a +2)y = 3a):} Find the value of a for whi...

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  15. {:(2x - 3y = k),(4x + 5y = 3):} Find the value of k for which given li...

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  16. {:(2x - 4y = 3),(5x - ky = 7.5):}

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  17. for what values of k the system has consistent solution {:(2x - 4y = ...

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  18. For what value of k, the system of equations 5x - ky = 3 and 10x - 3y ...

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  19. For what value of k, the system of equations 3x - 2y = 5 and 6x - ky =...

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  20. For what value of k, the equations 2x - 3y = 4 and 3x - ky = 5 meet at...

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