R,s, and t are collinear, and s is betrween r and t. if rs=x+1, st=2x-2, and rt=5x-5, find rt.

If you put and label the three points in a line, you will see that RS + ST = RT.

Then you only need to substitue with the expressions given for RS and ST to find RT.

RT = x +1 + 2x - 2 = 3x - 1

Also, RT = 5x - 5

Then, 3x - 1 = 5x - 5

5x - 3x = 5 - 1

2x = 4

x = 4/2 = 2

NOw substitute x in any of the expressions for RT:

RT = 5x - 5 = 5(2) - 5 = 10 - 5 = 5

RT = 5