Question 60802


x+2y=4  ----------(1)

2x-3y=1  ---------(2)



multiply the first equation by 2 so that  x coefficient of x in both equations 

will be same.


2( x + 2y ) =2*4

==>  2*x + 2* 2y =  8

==>  2x + 4y  = 8 ---------(3)

 subtract the second equation from third equation.

==>     2x + 4y - ( 2x -3y ) = 8 - 1

==>     2x + 4y - 2x + 3y    = 7

==>        2x -2x + 4y + 3y  = 7

==>                       7y  = 7

==>      y  = 7/7

          y = 1

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now substitute the value of y in any one of the equations.

let's take the first equation.

==> x + 2 * 1   =  4

==>     x + 2   = 4

==>          x  = 4 -2

==>           x = 2

 so the solution for the given equations IS


   x = 2  and y = 1