Linear equations by elimination

Question

If 3 shirts and 2 sweaters are $114, or 2 shirts and 4 sweaters are $164, how much does shirt cost? How much does sweater cost?

Answer 1

Just ask the seller. They want you to buy their product, so they know better than to discourage their customers by giving them math problems.

Answer 2

shirt cost = x

sweater cost = y

3x+2y =114 multiply this wiyh -2 => -6x-4y=-228

2x+4y =164

add these 2 equation

-6x-4y=-228

2x+4y =164

_____________

-4x = -64

x = 16

so 3(16) +2y=114

48+2y=114

2y= 66

y=33