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

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve

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