3 t-shirts and 2 hats costs £14 2 t-shirts and 7 hats costs £15 find the cost of a t-shirt find the cost of a hat
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let the cost of t-shirt be x and hat be y
3x+2y=14
3x=14-2y
x=(14-2y/3
2x+7y=15
2 (14-2y)/3+7y=15
(28-4y)/3+7y=15
(28-4y+21y)/3=15
28+17y=15×3
28+17y=45
17y=45-28
17y=17
y=17/17
y=1
x=(14-2y)/3
=14-2 (1)/3
=14-2/3
=12/3
=4
Therefore the cost of t-shirt = 4
And the cost of hat = 1
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