Adance instructor charges each student $57 for dance lessons. students who register early receive a $15 discount. a total of 11 students took dance lessons. if 5 of these students registered early, how much should the instructor collect from these 11 students?

Step-by-step explanation:

Let

x ----> the number of students that registered early

we know that

x=5

so

The amount that the  instructor collect from these 11 students is equal a 5 students registered early multiplied by $42 plus 6 students multiplied by $57

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

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step-by-step explanation: