Question 93527
-2x+3y=14---------(1)
 x+2y=7  ---------(2)

Multiply equation (2) by 2

    (x+2y=7)*2

==>  2x + 4y = 14  ---------(3)

    Add (1) and (3)
   -2x+3y=14
    2x + 4y = 14 
   _______________

       7y = 14

       7y/7 = 14/7

       y = 2 

 puggin the value of y = 2 in equation (2)

       x+2y=7
       x + 2(2) = 7

      x + 4 = 7

      x + 4- 4= 7 - 4
      x = 3 


      Check

 pluggin the value of x = 3 and y = 2 in equation (2 )

    x+ 2y = 7

    3 + 2(2)= 7 

    3 +4 = 7 

    7 = 7 

    LHS = RHS

 Hence x = 3 and y = 2 is the solution for the system of equation