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Show that the system of equations ` - x + 2y + 2 = 0 and (1)/(2) x - (1)/(2) y - 1 = 0 ` has a unique solution.

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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Test Yourself
  1. The graphical representation of the equations x + 2y = 3 and ...

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  2. Find the values of a and b for which the following system of linear...

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  3. The pair of equations 2 x + y = 5, 3x + 2y = 8 has

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  4. If x = - y and y gt 0, which of the following is wrong ?

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  5. Show that the system of equations - x + 2y + 2 = 0 and (...

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  6. For what values of k is the system of equations k x + 3y = ...

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  7. Show that the equations 9x - 10 y = 21, (3x)/(2) - ( 5y )/(3) = (...

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  8. Solve graphically : x-2y=0; 3x+4y=20

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  9. Two straight paths are represented by the equations x - 3y = 2 and -2...

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  10. The difference between two numbers is 26 and one number is three ti...

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  11. Solve : 23 x + 29 y = 98, 29 x + 23 y = 110 .

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  12. Solve : 6x + 3y = 7xy and 3x + 9 y = 11 xy .

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

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  14. In a Delta ABC, angle C = 3angle B = 2(angle A + angle B). Find the...

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  15. 5 pencils and 7 pens together cost ₹ 195 while 7 pencils and 5...

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  16. Solve the following system of equations graphically: " ...

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  17. Find angle A of a cyclic quadrilateral ABCD in which angleA= (4x+20)^@...

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  18. Solve for x and y : ( 35)/(x + y ) + ( 14)/(x - y ) = 19 , (...

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  19. A fraction becomes 4/5, if 1 is added to both numerator and denomina...

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  20. Solve (ax)/b-(by)/a=a+b ax-by=2ab

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