Answer:
Step-by-step explanation:
We can let x and y represent the costs of a sweater and shirt, respectively. Then the two purchases can be described by ...
x + 4y = 45
4x + 5y = 92
Subtracting the second equation from 4 times the first eliminates the x-variable:
4(x +4y) -(4x +5y) = 4(45) -(92)
11y = 88 . . . . simplify
y = 8 . . . . . . .divide by 11
Substituting into the first equation gives ...
x + 4·8 = 45
x = 13 . . . . . . subtract 32
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The price of one sweater is $13; one shirt is $8.
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A graphing calculator can help you check your work.