~! eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball 25 minutes more than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball every day? explain your reasoning. (2 points)

Part ax = number of minutes eric plays basketbally = number of minutes eric plays volleyball"eric plays basketball and volleyball for a total of 95 minutes every day"means that the x and y values must add to 95x+y = 95so the first equation could be x+y = 95optionally you can solve for y to get y = -x+95the second equation is  x = y+25because we're taking the time he plays volleyball (y) and adding on 25 minutes to that value to get the time he takes to play basketball (x)as before, we can optionally solve for y to get y = x-25part bwe need to solve for yx+y = 95y+25+y = 952y+25 = 952y+25-25 = 95-252y = 702y/2 = 70/2y = 35eric spends 35 minutes playing volleyballpart cif eric spends 35 minutes playing basketball then x = 35if x = 35, then y isy = -x+95y = -35+95y = 60when we use the first equationuse the second equation to gety = x-25y = 35-25y = 10which is inconsistent to the first result we gotso x = 35 doesn't fit both criteria that we're given at the top of the problem.  therefore it is not possible for eric to spend 35 minutes playing basketball

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