Question 561305: How many solutions does the system have?
-2x+5y=7
-2x+5y=12 HELP!!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 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
Answer: So there are NO solutions. This means that the system is inconsistent.
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