Explain why it makes sense that a system of two lines with equal slopes but different y-intercepts has no solutions.

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Step-by-step explanation:

Here, we want to seek why the system has no solutions

An example is necessary

Let us have two lines with equal slopes and different y-intercepts

y = 2x + 5

y = 2x - 3

To solve this system, we equate the y-values

2x + 5 = 2x - 3

The reason why this has no solution is that there is no x value that would validate the equality

It is impossible to find an x value which when inserted would make both equations equal

In the absence of this, we can make that conclusion that the system of equations has no solution

where are the choices?