Question

Please help me

Kali and Kim each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Kali spent $32 on 2 rose bushes and 14 shrubs. Kim spent $26 on Il rose bushes and 2 shrubs. What is the cost of one rose bush and the cost of one shrub?​

Answer 1

The cost of one rose bush is $2 and the cost of one shrub is $2.

Explanation:

Let r represent the cost of 1 rose bush and s the cost of 1 shrub.

Kali's expenditure

2r + 14s = 32

Divide each term by 2

r + 7s = 16 ------ (i)

Kim's expenditure

11r + 2s = 26 ------ (ii)

From equation (i)

r = 16 - 7s

11(16 - 7s) + 2s = 26

176 - 77s + 2s = 26

-75s = 26 - 176

-75s = -150

s = -150/-75 = 2

r = 16 - 7s = 16 - 7(2) = 16 - 14 = 2

The cost of one rose bush is $2 and the cost of one shrub is $2

Answer 2

$2 for 1 rose bush and $2 for one shrub

Explanation:

32=2x+14y

26=11x+2y

32=2(2)+14(2)

32=4+28

32=32

26=11(2)+2(2)

26=22+4

26=26

Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool