Answer:
Step-by-step explanation:
To create a system of equations, write an equation to model each condition that must be satisfied in the given situation.
It is given that x represents the width of the flower bed and that y represents the area of the base of the birdbath.
Write an equation to represent the condition regarding the planting area in the flower bed. It is given that there is 35 square feet of planting area. The flower bed is 3 feet longer than the width.
x(x+3) - y = 35
Write an equation to represent the condition regarding the cost of the soil and the birdbath. The question gives that the soil will cost $5 per square foot and the birdbath will cost $18 per square foot of the base.
5x(x+3)+18y=150
Combining both of the equations gives the following system of equations.
x(x+3)-y=35
5x(x+3)+18y=150
Ok so parallel equations mean they have equal slope, but different y intercepts. Here, we can solve and get the equation:
y=2/5x-7/5
