What is the solution to the system of equations? 2x – y = 7 y = 2x + 3

For this case we have the following system of equations:

To solve, we substitute the second equation in the first:

As noted, equality is not fulfilled. Thus, the system has no solution.

It can also be observed that the equations are:

That is, they have the same slope, , so the lines are parallel. If the lines are parallel, they never intersect.

The system has no solution

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