Question

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
x-5= -5+x

Answer 1

Since the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.

What is a linear equation?

The equation which have a degree of one will be called as the linear equation the graph of the equation will be always a straight line.

Here we have the equation:

x-5=-5+x

or

x-5=x-5

Here we can see that the ratios are same:

$\dfrac{a_1}{b_1}=\dfrac{a_2}{b_2}\\\\\\\\\dfrac{1}{-5}=\dfrac{1}{-5}$

So the equations will be coincident to each other or line one will coincide with line 2. Hence the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.

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