Question

IF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2

x=
JT=

Answer 1

x = 4

JT = 18

Explanation:

Given three points J, C and T on a line, if J is between C and T then;

CJ + JT = CT.

Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;

`(8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = (48)/(12) \\x = 4`

SInce JT = 4x+2

`JT = 4(4)+2\\JT = 16+2\\JT = 18`