Asoccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62. the system of equations that can be used to find x, the cost of each jersey, and y, the cost of each pair of shorts is shown. 12x + 12y = 156 4x + 6y = 62 what is the cost of each jersey?

The cost of the each jersey is $5 .

Step-by-step explanation:

As given

A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156.

Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

x = The cost of each jersey

y =  The cost of each pair of shorts

Than the two equations are

12x + 12y = 156

4x + 6y = 62

Mutiply  4x + 6y = 62  by 2 and subtracted from  12x + 12y = 156 .

12x - 8x + 12y - 12y = 156 - 124

4x = 32

x = 8

Put in the equation  4x + 6y = 62  

4 × 8 + 6y = 62

32 + 6y = 62

6y = 62 - 32

6y = 30

y = 5

Therefore the cost of the each jersey is $5 .

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