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6^x+6^y=42 , x+y=3...

`6^x+6^y=42 , x+y=3`

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Solve: 6x - 3y = 13, 2x + y =3

3x - y= 5, 6x - 2y = 10 .

4x-3y=8, 6x-y=29/3

2x + y = 6, 6x + 3y = 18 .

Prove that the following lines are concurrent. (i)5x-3y=1 , 2x+3y=23 , 42x+21y=257 (ii) 2x+3y-4=0 , x-5y+7=0 , 6x-17y+24=0

2x - 3y = 12, x + 3y = 6 .

2x-y=1 ; 6x+3y=5

2 x + 3y = 4, 4x + 6y = 12 .

4x-2y=3 6x-3y=5

2x+3y=5 4x-5y=6

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  2. The number of non negative integral solution of x+y+z leq n, where n i...

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  3. 6^x+6^y=42 , x+y=3

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  4. The no of real solutions of the equation (15 + sqrt(14))^t + (15 - sqr...

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  5. Solve the system of equations, " " abs(x^(2)-2x)+y=1, x^(2)+a...

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  6. Solve the following equations for x and y: log10x+log10(x)^(1/2)+log10...

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  7. Let [a] denotes the larger integer not exceeding the real number a if ...

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  8. Number of real solution of |x+1|=e^x is

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  9. Solve : 2x^(2)-3x+5 lt 0

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  10. Find all real values of x which satisfy x^2-3x+2>0a n dx^2-2x-4lt=0.

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  11. Find all integers x for which (5x-1)<(x+1)^2<(7x-3)dot

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  12. The set of all real numbers a such that a^2+2a ,2a+3,a n da^2+3a+8 are...

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  13. Solve :(x+3)^4+(x-1)^4>=82

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  14. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

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  15. Solve (x^2-2x-3)/(x+1)=0.

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  16. The solution set of (10x)/(x^(2)+9)lt=1 is

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  17. Let y=sqrt(((x+1)(x+3))/((x-2))) . Find all the real values of x for w...

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  18. Solve (2x+3)/(x^(2)+x-12) lt (1)/(2).

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  19. The least integral value alpha of x such that (x-5)/(x^2+5x -14) >0, ...

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  20. The range of x for which (0. 5)^(2-3x)<(2^x)^x(0. 25)^(x+4) is

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