5n-2=n+18
Move n to the other side
Sign changes from +n to -n
5n-n-2= n-n+18
5n-n-2= 18
4n-2= 18
Move -2 to the other side
Sign changes from -2 to +2
4n-2+2= 18+2
4n= 18+2
4n= 20
Divide by 4 for both sides
4n/4= 20/4
Answer: n=5
Answer + Step-by-step explanation:
y = 2x + 1 represents a linear function then the its graph is a line
To draw the line we have to determine two points that lie on that line
If x = 0 → y = 2(0) + 1 = 1 then the point A(0,1) lies on the line
If x = 2 → y = 2(2) + 1 = 5 then the point B(2,5) lies on the line
Now all we have to do is joining the points A and B with a line
The line AB represents our graph
Answer:
A: x = all real numbers
B: x = 8/3
Step-by-step explanation:
Part A:
![3x-6+1=-2x-5+5x](https://tex.z-dn.net/?f=3x-6%2B1%3D-2x-5%2B5x)
Combine like terms:
![3x-5=-5+3x](https://tex.z-dn.net/?f=3x-5%3D-5%2B3x)
Add 5 to both sides:
![3x=3x](https://tex.z-dn.net/?f=3x%3D3x)
Divide each side by 3x:
![1=1](https://tex.z-dn.net/?f=1%3D1)
All real numbers are valid solutions.
Part B:
![-2x - 5 = 2 - 4x - (x - 1)](https://tex.z-dn.net/?f=-2x%20-%205%20%3D%202%20-%204x%20-%20%28x%20-%201%29)
Distribute the negative in front of the parenthesis:
![-2x - 5 = 2 - 4x -x+1](https://tex.z-dn.net/?f=-2x%20-%205%20%3D%202%20-%204x%20-x%2B1)
Combine like terms:
![-2x - 5 = 3 -5x](https://tex.z-dn.net/?f=-2x%20-%205%20%3D%203%20-5x)
Add 5x to each side:
![3x - 5 = 3](https://tex.z-dn.net/?f=3x%20-%205%20%3D%203)
Add 5 to each side:
![3x=8](https://tex.z-dn.net/?f=3x%3D8)
Divide each side by 3:
![\frac{8}{3} =x](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D%20%3Dx)
X+y=45
2x=3y
2(45-y)=3y
90-2y=3y
90=5y
y=18
x+y=45
x+18=45
x=27
The two numbers are 18 and 27
Answer:
4:10, 8:20, 16:40
Step-by-step explanation:
Times both numbers by 2 each time to get a new equivalent ratio.