From what I got there is one real solution :)
Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)
Also they are both straight line graphs so they will either have one or no solutions
Hope this helped :)
Answer:
For this case, the first thing we must do is define variables:
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
Step-by-step explanation:
Okay, so you know that the perimeter of the pen is 28 feet. Now we need the separate side lengths.
P = 28 ft.
Length = x
Width = (1/2)x + 2
So now we can plug in the little equations of length and width into a perimeter formula:
2(x) + 2((1/2)x + 2) = 28
Distribute the 2's and solve as needed.
2x + x + 4 = 28
3x + 4 = 28
3x = 24
x = 8
To find the width, just plug in 8 for x in our little equation:
(1/2)(8) + 2
= 6
So, the length is 8 feet and the width is 6 feet.
My answer the question what is the surface area of a triangular prism is 126 yards2
