Given the system of equations, what is the solution?
x + 3y = 5
x - 3y= -1
o {(-4,-3)
{(2,113
O {(-2, 3)

The solution for the given equations  x + 3y = 5 and x - 3y = -1 are x=2 and y=1.

Step-by-step explanation:

The given is,

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

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

Step:1

         By elimination method,

        Subtracting Equations (1) and (2),

             ( - )

           ( ) + ( ) = ( )

                                        = 6

                                          = 1

Step:2

        Substitute the value of y in equation (1),

                        + ( 3 × 1 ) = 5

                                      = 5-3

                                      = 2

Step:3

        Check for Solution,

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

                           2 + ( 3 × 1 ) = 5

                                         5 = 5

Result:

       The solution for the given equations  x + 3y = 5 and x - 3y = -1 are x=2 and y=1, by elimination method.