Question

The total price of a shirt and a cap is $12. If the price of the shirt was doubled and the price of the cap was three times its original price, the total price of a shirt and a cap would be $26. The following system of equations models this scenario:

x + y = 12
2x + 3y = 26

What is the price of each shirt and cap?

Answer 1

Below

Explanation:

2x + 3y = 26 where x = shirt and y = cap

x + y = 12 to solve by ELIMINATION , multiply this equation by -3 to get

-3x - 3y = - 36 now add it to the TOP equation to 'eliminate ' y

-x = -10

x = 10 (shirt) use this value in any of the equations to find y = 2 (cap)