Why is the point $(1, 7)$ not the solution to the system with equations $y = 2x + 5$ and $y = -x + 2$?

It does not lie on the line $y = 2x + 5$.

It does not lie on the line $y = -x + 2$.

For an ordered pair $(a, b)$ to be the solution to a system of two linear equations, which of the following must be true?

The point $(a, b)$ must satisfy the first equation only.

The point $(a, b)$ must satisfy the second equation only.

The point $(a, b)$ must satisfy both equations.

The point $(a, b)$ must be close to the intersection.

Yes, it satisfies both equations.

No, it only satisfies the first equation.

No, it only satisfies the second equation.

No, it satisfies neither equation.