One week Beth Bought three apples and eight pears for $14.50. The next week she bought 6 apples and four pears and paid $14. Find the cost of one apple and the cost of one pear

3a+8p=14.5

6a+4p=14

divide second equation by 2

3a+2p=7

times - 1 and add to first equatlon

3a+8p=14.5

-3a-2p=-7 +

0a+6p=7.5

6p=7.5

divide both sides by 6

p=1.25

now sub

3a+2p=7

3a+2 (1.25) = 7

3a+2.5=7

minus 2.5 from both sides

3a=4.5

divide both sides by 3

a=1.5

1 apple=$1.50

1 peare=$1.25