How do you substitute to determine if the ordered pair (3, 2) is a solution of the system of equations y=x-1 and y=3x-7?

1 Answer
Sep 9, 2016

Answer:

The ordered pair #(3, 2)# is a solution of the system of equations #y=x-1# and #y=3x-7#.

Explanation:

To determine whether the ordered pair #(3, 2)# is a solution of the system of equations #y=x-1# and #y=3x-7# or not, we need to put these values in the two given equation and see, whether these equality in the equation is satisfied or not. Further #(3,2)# represents values of #x# and #y# in that order i.e. #x=3# and #y=2#.

Putting these values in #y=x-1#, we get #2=3-1# i.e. #2=2#, hence #(3,2)# satisfies #y=x-1#.

and putting these values in #y=3x-7#, we get #2=3xx3-7# i.e. #2=9-7# or #2=2#, hence #(3,2)# also satisfies #y=3x-7#.

As #(3,2)# satisfies both the equations, it is a solution of the system of equations #y=x-1# and #y=3x-7#.