```Question 561305
Let's say that z = -2x+5y

So this would mean that equation 1 would go from -2x+5y = 7 to z = 7

and equation 2 would go from -2x+5y = 12 to z = 12

But z is only ONE number.

So z can't be both 7 and 12 at the same time.

So there are no numbers z which satisfy the system, which means by extension, there are no numbers x and y which satisfy the system

<font color=red>Answer: So there are NO solutions. This means that the system is inconsistent.</font>

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