•6x-3y=21
•-3x+2y=5

(solve using elimination)

By the elimination method the solution for equations 6x-3y=21 and -3x+2y=5 are x = 19 and y = 31.

Step-by-step explanation:

The given is,

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

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

Step:1

         By elimination method,

         Multiplying the equation (1) by 2                    ( Eqn(1) × 2 )

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

        Multiplying the equation (2) by -3                 ( Eqn(2) × -3)

                ..............................(4)

Step:3

       Subtracting the equations (3) and (4)

       ( - )

            ( ) + ( ) = ( )

                                            ( ) = 57

Step:4

      Substitute the x value in Eqn (1),

                             ( 6 × 19 ) - ( ) = 21

                                               - = -93

Step:5

       Check for solution,

      Substitute the values of x and y in Equation (1),

                ( 6 × 19 ) - ( 3 × 31 ) = 21

                                          21 = 21

Result:

            The solution for equations 6x-3y=21 and -3x+2y=5 are x = 19 and y = 31.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

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