Answer:
Cost of one rose bush is $6 and the cost of one shrub is $5 .
Explanation:
Let us assume that the cost of one rose bush be x .
Let us assume that the cost of one shrub be y .
As given
Shanice and mofor each improved their yards by planting rose bushes and shrubs.
They bought their supplies from the same store. Shanice spent $48 on 3 rose bushes and 6 shrubs.
Equations becomes
3x + 6y = 48
Mofor spent $51 on 6 rose bushes and 3 shrubs.
Equations becomes
6x + 3y = 51
Multiply 3x + 6y = 48 by 3 .
3 × 3x + 3 × 6y = 3 × 48
9x + 18y = 144
Multiply 6x + 3y = 51 by 6
6 × 6x + 6 × 3y = 6 × 51
36x + 18y = 306
Subtracted 9x + 18y = 144 from 36x + 18y = 306 .
36x - 9x + 18y - 18y = 306 - 144
27x = 162
x = 6
Putting the value of x in the equation 9x + 18y = 144 .
9 × 6 + 18y = 144
54 + 18y = 144
18y = 144 - 54
18y = 90
y = 5
Therefore the cost of one rose bush is $6 and the cost of one shrub is $5 .