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Eugene and Shanice each improved their yards by planting sod and geraniums. They bought their supplies from the
same store. Eugene spent $36 on 9 ft² of sod (s) and 2 geraniums (g). Shanice spent $63 on 9 ft² of sod and 5
geraniums. What is the solution to the system of equations? What is the cost of one ft² of sod and the cost of one
geranium?

Respuesta :

The cost of one ft² of sod is $2 and the cost of one geranium is $9.

What are the linear equations that represent the question?

9s + 2g = 36 equation 1

9s + 5g = 63 equation 2

What is the cost of one feet of sod and geranium?

Subtract equation 1 from equation 2:

3g = 27

g = 27 / 3

g = $9

Substitute for g in equation 1

9s + (2 x 9) = 36

9s + 18 = 36

9s = 36 - 18

9s = 18

s = 18 / 9

s = $2

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