How many real solutions does the equation x+5=x have?
Please explain your answer to the best of your abilities thanks :)
What happens when you subtract x from both sides? It doesn't work. Plug in any number to see why. If x=1, then x+5=6. X always has to equal x and nothing else, so there are no solutions to this.
If you plotted y = x +5 and y = x on a graph, you would get two parallel lines that never intersect. There are therefore no solutions. There is no x for which the y values are the same
Jen's answer is equally valid
To determine the number of real solutions for the equation x+5=x, we can start by simplifying the equation.
Combining like terms, we have:
x + 5 = x
Next, we want to isolate the variable x on one side of the equation. Let's subtract x from both sides of the equation:
x - x + 5 = x - x
This simplifies to:
5 = 0
Now, we can see that the equation 5 = 0 is not true. In fact, there is no value of x that can satisfy this equation. Therefore, the equation x + 5 = x has no real solutions.
In summary, the equation x + 5 = x has 0 real solutions, as there is no value of x that will make the equation true.