no certain if i solved the systems of linear equation properly

Question

solve

 

4x+3y=1,

x=1-y

Answer 1

Hi Amanda...lets give this a try by substitution method

 

             4x  + 3y  =1                    x=1-y    ----> Put in for x

 

          4(1-y)  + 3y  =1

 

         4- 4y  +3y  =1

 

         4 -y  =1

        -4        -4

______________

 

             -y  = -3 

 

          -1 -y  =-3    Multiply thru by minus 1

 

                Y  =3                                                                

 

 

           Solve for  X   Put 3 in for Y

 

                4x + 3(3) =1

 

               4x  +  9  =1

 

                     -9      -9

________________________

 

               4x         =-8

            ____          ___

                4             4

 

                X=-2

 

 

                                   X=1 -y

                               -2    =1  -3

 

                             -2     =  -2

 

Hope this helps!