Solve the system using elimination. 2x-5y=-5 x+y=8

The solution for the given equations   and are (x, y) respectively (5, 3).

Step-by-step explanation:

The given is,

               .................................................(1)

               ........................................................(2)

Step:1

         By using the elimination method for the above equations are,

        Multiply the equation (2) by 2     ( Eqn(2) × 2)

                 .............................................(3)

Step:2

       Subtract the Equation (1) and (3),

      ( - )

      ( - ) + ( - ) = ( - )

                                    =

                                        = 3

Step:3

     Substitute the value of y in Eqn (2),

                                        ............................(2)

Step:4

    Check for solution,

              Substitute the x and y values in Eqn (1),

                                   ........................(1)

                      (2 × 5) - (5 × 3) = -5

                                   10 - 15 = -5

                                          -5 = -5

Result:

       The solution for the equations and are (x, y) respectively (5, 3).