Question

What does x and y equal

Answer 1

The values are x= 0 and y= -3.

Step-by-step explanation:

         The given equations are,

                 6x-5y=15...........................(1)

                 x=y+3................................(2)

Step:1

       Modify the equation (2) in (x+y=constant) format,

                 x-y=3................................(3)

Step:2

      The equation (3) is multiplied by 5  (5×Eqn(3))

                 5x-5y=15........................(4)

Step:3

      Subtract the equation (1) and (4)

                 6x-5y=15.......................(1)

                 5x-5y=15.......................(4)

      ( - )                                                            (∵ Eqn(1)-Eqn(4))

      (6x-5x)+(-5y+5y)=(15-15)

      (x)+(0)=(0)

      x=0

Step:4

    Substitute the X=0 in the equation (2),

              x=y+3............................(2)

      (∵ x=0)

             0=y=3

             y=-3

Step:5

    Check for solution substitute values of X and Y in equation (1),

          6x-5y=15...........................(1)

     (∵ x=0, y=-3)

          (6×0)-(5×(-3))=15

         15=15

Result:

       The solution for equation 6x-5y=15 and x=y+3 are

       x=0 and y=-3.