Question

Three lines y=2x+1,y=x and y=0.5x-0.5 are on the same x-y plane.Note that you have two lines “symmetric” about the line y=x.At what point (x,y)do all three of these curves intersect? Thanks

Answer 1

Set y=x (line of symmetry) and solve for x in each of the two other lines.

Answer 2

can you explain a bit more

Answer 3

We see that all three lines intersect at one single point, which means that at this point, the values of x and y are the same for all three lines.
L1: y=2x+1
L2: y=x
L3: y=0.5x-0.5
To find this point, we take any of the two lines, say L1 and L2 and solve for x and y.
From L2: y=x
Substitute in L1:
x=2x+1
Solve for x, which gives x=-1.
Substitute in L2 to give y=-1.
The points is therefore (-1,-1)

I will let you complete the rest.