Emily and jimmy each improved their yards by planting rose bushes and shrubs. they bought their supplies from the same store. emily spent $68 on 5 rose bushes and 3 shrubs. jimmy spent $161 on 1 rose bush and 14 shrubs. find the cost of one rose bush and the cost of one shrub.

Question

Mathematics

Raegan Flores

7 October, 00:21

Emily and jimmy each improved their yards by planting rose bushes and shrubs. they bought their supplies from the same store. emily spent $68 on 5 rose bushes and 3 shrubs. jimmy spent $161 on 1 rose bush and 14 shrubs. find the cost of one rose bush and the cost of one shrub.

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Answers (1)

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Bryson Welch · Answer 1

rose$7 shrub $11

Step-by-step explanation:

5r+3s=68

1r+14s=161

I will multiply the second by - 5 to eliminate r variable

5r + 3s = 68

-5r - 70s = - 805

-67s = - 737

Divide both by - 67

s = 11

14*11=154

161-154 = 7

5*7 + 3*11 = 68

35+33 = 68

7 + 14*11 = 161

7+154 = 161