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SAI International School
                                                       CLASS - X

               Mathematics

               CHAPTER- 3  : Pair of Linear Equations in Two Variables
               Worksheet -2


         1.    The pair of linear equations 3x 5y 3; 6x ky 8        do not have a solution if:
               (A) k = 5     (B) k = 10     (C)  k 10     (D)  k 5                                         (A/E)

         2.     One equation of a pair of dependent linear equations is  5x 7y 2     , the second equation can
               be:
                                                                              
                                                                        
                                                    
                                                                                 
                                                       
               (A) 10x 14y 4 0     (B)  10x 14y 4 0      (C)  10x 14y 4 0    (D) 10   − 14   + 4 = 0
                                              
                                         
                                                                   
               (U/D)

         3.    Given equations in the form a 1x + b 1y + c 1 = 0 and a 2x + b 2y + c 2 = 0 has unique solution if
               (A) a 1b 2 – a 2b 1 ≠ 0   (B)a 1b 2 – a 2b 1 = 0 (C) a 1c 2 – a 2c 1 ≠ 0 (D) a 1c 2 – a 2c 1 = 0.                      (C/E)


         4.    In the following rectangle  xy is equal to
                                                13cm

                3x+y                                                  7cm
                                                 x+3y


               (A)  5                       (B) 8                           (C) 10              (D)   4                                    (A/Av)

         5.    A woman has Rs. 40 in 5 rupee and 2 rupee coins. All the 5 rupee coins are worth as much as
               all the 2 rupee coins. How many coin has she?
               (A) 5                        (B) 4                  (C) 10               (D)  14                           (A/Av)

         6.     For what value of k the following system of linear equation has infinitely many solutions: 2x +
               ky = -10; 4x - 3y =-20                                                              (A/Av)

         7.    Solve for x and y :                 ,                   .                             (U/E)

         8.    Solve the following system of equation by cross mulitiplication method:
                5ax + 6by = 28 and 3ax + 4by = 18                                             (A/Av)

         9.    Determine whether the system has a unique solution, no solution or infinitely many solutions. In
               case there is a unique solution, find it.                                               (C/E)
               -3x + 4y = 5
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