Answer:
The solution is: (1,-3)
Step-by-step explanation:
Given equations are:
x-y=4 Eqn 1
4x+y = 1 Eqn 2
Substitution involves finding value of a variable from one equation and putting in other equation
From equation 1
x = y + 4
Putting in equation 2
Putting y = -3 in equation 1
Hence,
The solution is: (1,-3)
The path should be 6.38 feet wide
Let x be the width of the path.
Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.
So, the dimensions are 15 + x by 10 + x respectively.
So, the area of the rectangular plot plus uniform path is A
A = (15 + x)(10 + x)
Since the combined area of the path is 350 square feet, A = 350 ft²
So, (15 + x)(10 + x) = 350
Expanding the brackets, we have
150 + 15x + 10x + x² = 350
x² + 25x + 150 = 350
x² + 25x + 150 - 350 = 0
x² + 25x - 200 = 0
Using the quadratic formula, we find x, the width of the path
So,
Since x cannot be negative, we choose the positive answer.
x = 6.375 ft
x ≅ 6.38 ft
So, the path should be 6.38 feet wide
Learn more about width of a path here: