Question

Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35

Answer 1

Answer:

x = 14

Step-by-step explanation:

3x+2x-7=2x+35

then solve for x

Answer 2

Answer:

x = 14

Step-by-step explanation:

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is $3 x$, length from B to C is $2x - 7$ and AC is $2 x + 35$.

We are to find the value of x.

$A B + B C = A C$

$3 x + 2 x - 7 = 2 x + 3 5$

$3 x + 2 x - 2 x = 3 5 + 7$

$3 x = 4 2$

$x = \frac { 4 2 } { 3 }$

x = 14