The equation has no solutions when m = 0, and when m ≠ 0, the equation has only one solution.
Here we have the equation:
m*x = 5
If we solve for x, we get:
x = 5/m
So, as long as m is different than zero, we will have one solution.
We can't have m = 0 because we can't divide by zero.
Then:
m > 0 or m < 0.
We have no solutions when m = 0, the equation becomes:
0*x = 5
0 = 5
This equation has no solution
And we never can have infinite solutions.
If you want to learn more about equations:
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