This system of equations has no solution, the 2 lines will never cross
Answer:
(-239.4, 657.8) km/h
Step-by-step explanation:
Measured CCW from the +x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...
(700 km/h)(cos(110°), sin(110°)) ≈ (-239.4, 657.8) km/h
X, y - the numbers
The sum of the two numbers is 9.
![x+y=9](https://tex.z-dn.net/?f=x%2By%3D9)
If one number is subtracted from the other, the result is 3.
![x-y=3](https://tex.z-dn.net/?f=x-y%3D3)
Solve the system of equations:
![x+y=9 \\ \underline{x-y=3} \\ x+x=9+3 \\ 2x=12 \ \ \ |\div 2 \\ x=6 \\ \\ x+y=9 \\ 6+y=9 \ \ \ |-6 \\ y=3](https://tex.z-dn.net/?f=x%2By%3D9%20%5C%5C%0A%5Cunderline%7Bx-y%3D3%7D%20%5C%5C%0Ax%2Bx%3D9%2B3%20%5C%5C%0A2x%3D12%20%5C%20%5C%20%5C%20%7C%5Cdiv%202%20%5C%5C%0Ax%3D6%20%5C%5C%20%5C%5C%0Ax%2By%3D9%20%5C%5C%0A6%2By%3D9%20%5C%20%5C%20%5C%20%7C-6%20%5C%5C%0Ay%3D3)
The numbers are 6 and 3.
X= larger number
x-6= smaller number
x + (x - 6)= 62
combine like terms
2x - 6= 62
add 6 to both sides
2x= 68
divide both sides by 2
x= 34 larger number
SMALLER NUMBER
x - 6= 34 - 6= 28
ANSWER: The smaller number is 28 and the larger number is 34.
Hope this helps! :)