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Determine the values of a and b for which the following system of linear equations has infinite solutions: `2x-(a-4)y=2b+1` and `4x-(a-1)y=5b-1`

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RD SHARMA ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. For what value of alpha, the system of equations alphax+3y=alpha-3 12...

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  2. Find the value of k for which the system k x+2y=5 3x+y=1 has (i) a u...

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

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  4. Determine the values of m and n so that the following system of linear...

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  5. Find the values(s) of k for which the system of equations k x-y=2 6x-...

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

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

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

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  10. Solve 4/x+5y=7 and 3/x+4y=5

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

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

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

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  14. Solve: 3x - (y+7)/11+2 =10 and 2y+ (x+11)/7 =10

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

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

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

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  18. 6/(x+y)=7/(x-y)+3, 1/(2(x+y))=1/(3(x-y))

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  19. Determine graphically the vertices of a trapezium, the equations of ...

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  20. Determine, graphically whether the system of equations x-2y=2,4x-2y=5 ...

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