Solve system with substitution

julia and willie each improved their yard by planting rose bushes and shrubs. they bought their supplies from the same store. julia spent $136 on 11 rose bushes and 4 shrubs. willie spent $148 on 2 rose bushes and 11 shrubs. find the cost of one rose bush and the cost of on shrub.

The cost of 1 Rose Bush= $ 8

The cost of 1 Shrub =  $12.

Step-by-step explanation:

The cost of 11 rose bushes and 4 shrubs =  $136

The cost of 2 rose bushes and 11 shrubs =  $148

Let the cost of one rose bush =  $x

and the cost of one shrub  =  $ y

Now, according to the question:

11 x + 4 y = 136

and 2 x + 11 y  = 148

From (1), we get that 11x  = 136 - 4y

or,

Substitute this value of x in equation (2), we get

or,

or, 113 y = 1356

or, y = 1356/113 = 12

⇒ y = 12, So

or, x  =8 and  y = 12 is the solution of the above system.

Hence, the cost of 1 rose bush  = $x = $8

and  The cost of 1 shrub = $ y = $12.

the answer is c. 23/3

5

step-by-step explanation: