Pam likes to practice dancing while preparing for a math tournament. she spends 80 minutes every day practicing dance and math. to her concentrate better, she dances 20 minutes more than she works on math. part a: write a pair of linear equations to show the relationship between the number of minutes pam practices math every day (x) and the number of minutes she dances every day (y). part b: how much time does pam spend on practicing math every day? part c: is it possible for pam to have spent 60 minutes practicing dance every day? explain your reasoning.

Let,y =  the time to dancex = time for mathtotal time spent on practicing dance and math = 80 minutes  extra time for dance = 20 minutespart a: write a pair of linear equations: x + y = 80 (total time spent on dance and math)and  y = x + 20 (extra 20 minutes for dancing)part b: time spent on practicing math:   replace y = 20+x in the first equationwe get,x + 20 + x = 80combining like terms2x = 60dividing both sides by 2x = 30 minutes  part c: is it possible for pam to have spent 60 minutes practicing dance every day? explain your reasoning.  no. because she practices math for 30 minutes; so she spends 20 minutes more on practicing dance, which means she spends: 30min + 20 min = 50 minutes on practicing dance.

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