8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of arrot cost $11.20. what is the cost of 1 kg of each item

1 kg of potatoes costs x, 1 kg of carrots costs y.

8x+5y=28 | : (-4)

2x+3y=11,2

-2x-1,25y=-7

2x+3y=11,2

3y-1,25y=11,2-7

1,75y=4,2

y=2,4

1 kg of carrots costs $2,4.

1 kg of potatoes costs:

2x+3*2,4=11,2

2x+7,2=11,2

2x=11,2-7,2

2x=4

x=2

1 kg of potatoes costs $2