Linear Equation Class 10th DPP

 DPP -1

  1. How many solutions does the pair of equations y = 0 and y = -5 have?
  2. If ax + by = a2 – b2 and bx + ay = 0, find the value of (x + y).
  3. For what value of k, the pair of equations 4x – 3y = 9, 2x + ky = 11 has no solution?
  4. Calculate the area bounded by the line x + y = 10 and both the co-ordinate axes.
  5. Find whether the following pair of linear equations is consistent or inconsistent:
                 3x + 2y = 8   ; 6x – 4y = 9

      6. Check graphically whether the pair of equations 3x – 2y + 2 = 0 and 32x – y + 3 = 0, is              consistent. Also find the coordinates of the points where the graphs of the equations                 meet the Y-axis.


      7 . Draw the graph of
         2y = 4x – 6; 2x = y + 3 and determine whether this system of linear equations has a                 unique solution or not.
      8.Solve the following pair of equations for x and y:
            a2x−b2y = 0; a2bx+b2ay = a + b, x ≠ 0; y ≠ 0

       9.Solve for x and y:
        10x+y+2x−y=4;15x+y−5x−y=−2
 
      10. Solve for x and y.
          141x + 93y = 189;
           93x + 141y = 45

          

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