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

Find the value of `k` for which the system `k x+2y=5` `3x+y=1` has (i) a unique solution, and (ii) no solution.

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We have, `kx + 2y = 5` ...... (1)
and `3x + y = 1` ...... (2)
Here, `a_1=k,b_1=2,c_1=5`
`a_2=3,b_2=1,c_2=1 `
The given system of equations will have a unique solution
if `a_1/a_2!=b_1/b_2`
...
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RD SHARMA-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
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  10. Solve: x/a+y/b=a+b, x/(a^2)+y/(b^2)=2

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  11. 4/x+5y=7 and 3/x+4y=5

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

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

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

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

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  19. Solve for x and y 6/(x+y)=7/(x-y)+3, 1/(2(x+y))=1/(3(x-y))

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