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Find the values of k for which the syste...

Find the values of `k` for which the system `2x+k y=1` `3x-5y=7` will have (i) a unique solution, and (ii) no solution. Is there is a value of `k` for which the system has infinitely many solutions?

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The straight lines
`2x+ky=1`
`3x−5y=7`
here,
`a_1​=2,b_1​=k,c_1​=−1`
...
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RD SHARMA-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
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  3. Find the values of k for which the system 2x+k y=1 3x-5y=7 will have...

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  4. For what value of alpha, the system of equations alphax+3y=alpha-3 12...

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  6. Determine the values of a and b for which the following system of lin...

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  9. For what value of k will the equations x+2y+7=0,2x+k y+14=0 represent ...

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  10. In each of the following systems of equations determine whether the sy...

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  11. Solve : a(x+y)+b(x-y)=a^2-a b+b^2, a(x+y)-b(x-y)=a^2+a b+b^2

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  12. Solve: x/a+y/b=a+b, x/(a^2)+y/(b^2)=2

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  13. 4/x+5y=7 and 3/x+4y=5

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  14. Solve the following system of equations in xa n dy a x+b y=1 b x+a y...

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  15. Solve: x+y=a+b a x-b y=a^2-b^2

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  16. (xy)/(x+y)=6/5 (xy)/(y-x)=6

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  17. 3x - (y+7)/11+2 =10 and 2y+ (x+11)/7 =10

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  18. x-y+z=4, x+y+z=2, 2x+y-3z=0

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  19. (44)/(x+y)+(30)/(x-y)=10 (55)/(x+y)+(40)/(x-y)=13

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  20. Solve: x+2y+z=7, x+3z=11, 2x-3y=1

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