Find at least 3 solutions for the following linear equation in two variables:

2x + 5y = 13

2x + 5y = 13

      5y = 13 - 2x 

       
Put x = 0, then  

Put x = 1, then 

Put x = 2, then 

Put x = 3, then 

 are the solutions of equation  2x + 5y = 13.

Solution not provided.

Ans.    (i) 2X + 3Y - 4.37 = 0; a = 2,   b = 3 and   c = - 4.37
          (ii) x -  - 4 = 0; s = 1, b =  c = -4
          (iii) - 5x + 3y + 4 = 0; a = -5,  b = 3 and c  = 4
                                or 
                   5x - 3y - 4 = 0; a = 5, b = 3 and c = -4
          (iv) 2x - y + 0 = 0; a = 2,  b = -1 and c = 0

                                  3x + 2y = 6
Put y = 0,  we get      3x + 2(0) = 6
                                     3x = 6

                               
    (0, 3) is a solution

                                    5x + 2y = 10
Put y = 0, we get         5x + 2(0) = 10

                                       5x = 10

                                 
    (0, 5) is a solution.

The given equations have a common solution (2, 0)

7 = 2x
⇒ 2x – 7 = 0
⇒ 2x + 0y – 7 = 0
Comparing with ax + by + c = 0, we get
a = 2
b = 0
c = –7

Solution not provided.

Ans.    (i) 1 x + 0y + 5 = 0               
          (ii) 0x + 1y - 2 = 0
         (iii) 2x + 0y - 3 = 0
         (iv) 0x + 5y - 2 = 0