Paul and amy each improved their yards by planting daylilies and shrubs they bought their supplies from the same store paul spent 45$ on 3 dayliles and 3 shurbs amy spent 75$ on 3 dayliles and 8 shrubs what is the cost of one daylile and the cost of one shrub

the cost of 1 daylile =9

the cost of 1 shrub  =6

Step-by-step explanation:

Paul spent 45$ on 3 dayliles and 3 shurbs

3x + 3y = $45

Amy spent 75$ on 3 dayliles and 8 shrubs

3x + 8y = $75

solve them

3x + 3y = $45

3x = 45 - 3y

x = (45 - 3y) / 3

Put values of x in equation 2

3(45 - 3y) / 3 + 8y = 75

45 - 3y + 8y = 75

45 + 5y = 75

5y = 75 - 45

5y = 30

y = 30/5

y = 6

find x,

3x + 3y = $45

3x + 3(6) = 45

3x =45 - 18

3x = 27

x = 9

So

the cost of 1 daylile =9

the cost of 1 shrub  =6

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents