SOLUTION: Point B is between A and C on line AC. Using the information provided, find the values of x, AB, and BC. AC= 8x-16 AB=3x-8 BC=4x

Algebra ->  Geometry-proofs -> SOLUTION: Point B is between A and C on line AC. Using the information provided, find the values of x, AB, and BC. AC= 8x-16 AB=3x-8 BC=4x      Log On


   

Question 1121592: Point B is between A and C on line AC. Using the information provided, find the values of x, AB, and BC.
AC= 8x-16 AB=3x-8 BC=4x
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
AB + BC = AC    since the point  C  is between A and C on the segment AC.


It means that


(3x-8) + 4x = 8x - 16.


Simplify and solve it for x.


3x - 8 + 4x = 8x - 16


7x - 8 = 8x - 16


16 - 8 = 8x - 7x


8 = x.


Thus x= 8,  AC = 8x-16 = 8*8 - 16 = 84-16 = 48;  AB = 3x-8 = 3*8-8 = 16;  BC = 4*x = 4*8 = 32.

Solved.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
AC = AB + BC
+8x+-+16+=+3x+-+8+%2B+4x+
+x+=+8+
AB = +3x+-+8+
AB = +3%2A8+-+8+
AB = +16+
BC = +4x+
BC = +4%2A8+
BC = +32+
———————————-
Check:
AC = +8x+-+16+
AC = +64+-+16+
AC = +48+
And
AB + BC = +16+%2B+32+
AB + BC = +48+