Consider the system of inequalities below. What is the solution for the system?
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Answer: x = 1/4; y = 0
Step-by-step explanation: We know that 4x-2y = 1, since it can't be both less than 1 and greater than 1. When you add the two equations together, you get the following:
4x - 2y = 1
+ 4x - 2y = 1
The 2y's cancel out, leaving you with x = 2/8, or 1/4.
When you subtract the two to get rid of the x, you get -4y = 0, meaning that y = 0.