Agarden shop charges $72 for 3 rose bushes and 2 lilac bushes. it also charges $114 for 5 rose bushes and 3 lilac bushes. at these same rates, how much would the garden shop charge for 1 rose bush and 1 lilac bush?

Amount charges for 1 rose bush =

Amount charges for 1 lilac bush =

Step-by-step explanation:

Let x denotes cost of one rose bush and y denotes cost of one lilac bush.

Given statement 1: A garden shop charges $72 for 3 rose bushes and 2 lilac bushes.

we get ,

3x+2y = 72   ....(i)

Given statemnet 2: A garden shop charges $114 for 5 rose bushes and 3 lilac bushes.

we get ,

5x+3y=114      ...(ii)

From equation1,

On this value of x in equation (ii), we get

So,

Amount charges for 1 rose bush =

Amount charges for 1 lilac bush =