The intersection of the lines y x1 and y x3 is the pointSol

The intersection of the lines y = x+1 and y =-x+3 is the point

Solution

given

y = x+ 1

and y = - x + 3

==> x - y = -1 ---> ( 1 )

==> x + y = 3 --> ( 2 )

soving 1 and 2 system of equations so ( 1 ) + ( 2 ) we get

x - y = -1 ---> ( 1 )

x + y = 3 --> ( 2 )

2x + 0 = 2

2x = 2

==> x = 1

sub x in 1 , we get

1 - y = -1

==> - y = -1 -1

==> y = 2

therefore point is ( 1, 2 )