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Find the values of p and q for which the...

Find the values of `p` and `q` for which the following system of linear equations has infinite number of solutions: `2x+3y=9,\ \ \ \ (p+q)x+(2p-q)y=3(p+q+1)`

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The correct Answer is:
`p = (5)/(3), q = (1)/(3)`
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NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3d
  1. {:(kx + 3y = k - 3),(12x + ky = k):} find the value of k for which sys...

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  2. {:(8x + 5y = 9),(kx + 10y = 8):}

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

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

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

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

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  7. {:((2a - 1)x + 3y - 5 = 0),(3x + (b - 1) y - 2 = 0):} Find the value o...

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

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  9. {:(2x + 3y = 7),((a - 1)x +(a +2)y = 3a):} Find the value of a for whi...

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  10. {:(2x - 3y = k),(4x + 5y = 3):} Find the value of k for which given li...

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  11. {:(2x - 4y = 3),(5x - ky = 7.5):}

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

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

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

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

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  16. For what value of k, the two lines 3x - 5y = 4 and 6x - ky = 8 are par...

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  17. For what value of k, the two lines 2x - 4y = 6 and 3x - 6y = k are par...

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

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

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

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