math homework question

Question

In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and

four

shirts cost

​$54​,

while

four

sweaters and

five

shirts cost

​$106​,

find the price of one sweater and the price of one shirt.

Answer 1

x + 4y = 54 multiply both 4

4x +16y = 216

4x+5y = 106 subtract to eliminate x

11y = 110

y = 110/11 = $10 for a shirt

x = 54-4y = 54-40 = $14 for a sweater