Question

Michael and Trevor are selling T shirts and sweatshirts with the school logo. Michael sells 10 Tshirts and 6 sweatshirts for $260. Trevor sells 5 Tshirts and 7 sweatshirts for $250. Write a system of equation to represent the situation. Using x for the price of tshirts and y for the price of sweatshirts. Solve the system of equations using elimination or substitution.

Answer 1

x = 8

y = 30

Explanation:

10x + 6y = 260

5x + 7y = 250

we can use the elimination method by multiplying the second equation by -2 to get:

-10x - 14y = -500

now we can add them together:

10x + 6y = 260

-10x - 14y = -500

the 'x' will be eliminated and we have -8y = -240

y = 30

plug 30 into either equation to solve for 'x':

10x + 6(30) = 260

10x + 180 = 260

10x = 80

x = 8