answersLogoWhite

0

x+5=x-5 can be written as
x=x-5-5 so x-x=-10 or 0=-10

we end up with 0=-10 which is not true. This tells us the there is no solution.
One way to see this is think of the line y=x+5, this is a line with slop 1 and y intercept 5.
Now the other line y=x-5 has slope 1 also and y intercept -5.
When we set the two equations equal to one another, we are asking, what is the intersection of the graphs of the two lines. Since they have the same slope and different y intercepts, the lines are parallel and hence have no intersection.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga

Add your answer:

Earn +20 pts
Q: What is X plus 5 equals x minus 5?
Write your answer...
Submit
Still have questions?
magnify glass
imp