Answer:
x=4,y=9
Step-by-step explanation:
We want to solve the equation:
![2y - 5x = - 2](https://tex.z-dn.net/?f=2y%20-%205x%20%3D%20%20-%202)
![3y + 2x = 35](https://tex.z-dn.net/?f=3y%20%2B%202x%20%3D%2035)
simultaneously.
Multiply the top equation by 3 and the bottom equation by 2 to get:
6y-15x=-6
6y+4x=70
Subtract the top equation from the bottom equation.
![4x - - 15x = 70 - - 6](https://tex.z-dn.net/?f=4x%20-%20%20-%2015x%20%3D%20%2070%20-%20%20-%206)
![19x = 76](https://tex.z-dn.net/?f=19x%20%3D%2076)
![x = \frac{76}{19}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B76%7D%7B19%7D%20)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
We substitute x=4 into 2y-5x=-2 to get:
![2y - 5(4) = - 2](https://tex.z-dn.net/?f=2y%20-%205%284%29%20%3D%20%20-%202)
![2y = - 2 + 20 = 18](https://tex.z-dn.net/?f=2y%20%3D%20%20-%202%20%2B%2020%20%3D%2018)
![y = \frac{18}{2} = 9](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B18%7D%7B2%7D%20%20%3D%209)
Therefore the solution to the system is
(4,9)
Hope this answer is helpful and correct.
It is 10%. i hope this is useful
9-4=-5 would be the smallest answer
Answer:
6 feet
Step-by-step explanation:
Perimeter = 2L + 2W
Since you know the perimeter is 64 feet, you would plug that into the perimeter side.
64 = 2L + 2W
You also know the width is 2 feet longer than 4 times the length.
64 = 2L + 2(2 + 4L) ----> Multiply 2 * 2 and 2 * 4l
64 = 2L + 4 + 8L ----> Subtract 4 from each side
-4 -4
60 = 2L + 8l ----> add these two
60 = 10L
/10 /10 -----> divide by 10 on each side
6 = L
Now that we know the length, find the width.
64 = 2(6) + 2(2 + 4(6)) -----> multiply 2 * 6 and 4 * 6
64 = 12 + 2(2 + 24) -------> add 24 and 2
64 = 12 + 2(26) -------> multiply 2 and 26
Before you go any further, you now know that the width is 26 feet. Continue solving.
64 = 12 + 52
64 = 64
Everything checks out.
The length is 6 feet and the width is 26 feet.