Interpreting the Solution of a System of Equations The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The two companies, Shirt Box and Just Tees, are represented by this system of equations where x is the number of T-shirts and y is the total cost of the T-shirts. y = 10.5x y = 7.5x + 30 How many T-shirts would the volleyball team need to purchase from each company for the total cost to be equal? For the total cost to be the same for both companies, the volleyball team would need to purchase T-shirts from each company for a total of $ for each company.

Question

Logan Day

Mathematics

22 January, 13:46

Interpreting the Solution of a System of Equations The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The two companies, Shirt Box and Just Tees, are represented by this system of equations where x is the number of T-shirts and y is the total cost of the T-shirts. y = 10.5x y = 7.5x + 30 How many T-shirts would the volleyball team need to purchase from each company for the total cost to be equal? For the total cost to be the same for both companies, the volleyball team would need to purchase T-shirts from each company for a total of $ for each company.

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Jaxson Bright · Answer 1

For the cost to be the same for both options, y=y, so we can say:

10.5x=7.5x+30 subtract 7.5x from both sides

3x=30 divide both sides by 3

x=10

So they would have to purchase ten t-shirts from each company for the cost to be the same. And that cost is either equation using 10 for the x value

y=10.5 (10) = $105.00