B. y=2/3x-13/3 is written in slope intersept form
5x−12=−2+5(x−2)
multiply 5 by all in parentheses first
5x - 12= -2 + (5*x) + (5*-2)
5x - 12= -2 + 5x - 10
5x - 12= 5x - 12
if you subtract 5x from one side and add 12 to the other the solution is:
0= 0
This equation is one that is always true. No matter what number you put in for x, it will always be true.
Example:
5x - 12= 5x - 12
5(4) - 12= 5(4) - 12
20 - 12= 20 - 12
8= 8
Example:
5(-100) - 12= 5(-100) - 12
-500 - 12= -500 - 12
-512= -512
This will happen no matter what number x is.
ANSWER: D) All values of x make the equation true.
Hope this helps! :)
2(2x-1) + 2(3x)=4x-2+6x = 10x - 2 & not <span>=10x-1</span>