Answer:
Shirts: $8
Pants: $13
Step-by-step explanation:
2 shirts and 2 pairs of pants costs $42.
2x + 2y = 42
3 shirts and 1 pair of pants costs $37.
3x + y = 37
Use substitution to solve. Rearrange the second equation so that it is equal to y. Plug in the value for y into the first equation.
3x + y = 37
y = 37 - 3x
2x + 2y = 42
2x + 2(37 - 3x) = 42
2x + 74 - 6x = 42
74 - 4x = 42
-4x = -32
x = 8
Now that you have the value for x, solve for y using one of the equations. I will use the first equation, but you can use the other one and still get the right answer.
2x + 2y = 42
2(8) + 2y = 42
16 + 2y = 42
2y = 26
y = 13
The shirts cost $8, and the pants cost $13.
