Question

Find the value of x if A, B, and C are collinear points and B is between A and C.

AB=x+6,BC=3x−5,AC=36−x

Answer 1

we know that

if A, B, and C are col-linear points and B is between A and C

then

AB+BC=AC

AB=x+6

BC=3x-5

AC=36-x

substitute

(x+6)+(3x-5)=36-x

(x+3x)+(6-5)=36-x

4x+1=36-x

4x+x=36-1

5x=35

x=35/5

x=7

the answer is

the value of x is 7