Answer:
y=-1/2x
Step-by-step explanation:
Answer:
Multiply by 18
Step-by-step explanation:
Given
![\frac{x}{3} + \frac{x}{6} = \frac{11}{9}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20%2B%20%5Cfrac%7Bx%7D%7B6%7D%20%3D%20%5Cfrac%7B11%7D%7B9%7D)
Required
Eliminate the fraction
To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)
This is show below:
List out the multiplies of 3, 6 and 9
![3 = 3,6,9,12,15,18,21,24,27,30...](https://tex.z-dn.net/?f=3%20%3D%203%2C6%2C9%2C12%2C15%2C18%2C21%2C24%2C27%2C30...)
![6 = 6,12,18,24,30...](https://tex.z-dn.net/?f=6%20%3D%206%2C12%2C18%2C24%2C30...)
![9 = 9,18,27...](https://tex.z-dn.net/?f=9%20%3D%209%2C18%2C27...)
The least common multiple is 18.
Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;
See proof
![18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18](https://tex.z-dn.net/?f=18%20%2A%20%28%5Cfrac%7Bx%7D%7B3%7D%20%2B%20%5Cfrac%7Bx%7D%7B6%7D%29%20%3D%20%5Cfrac%7B11%7D%7B9%7D%20%2A%2018)
![\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B18x%7D%7B3%7D%20%2B%20%5Cfrac%7B18x%7D%7B6%7D%20%3D%20%5Cfrac%7B11%2A18%7D%7B9%7D)
![6x + 3x = 11 * 2](https://tex.z-dn.net/?f=6x%20%2B%203x%20%3D%2011%20%2A%202)
![6x + 3x = 22](https://tex.z-dn.net/?f=6x%20%2B%203x%20%3D%2022)
<em>The fraction is eliminated</em>
The positive factor of -72 is [72].
Answer:
y = 5
Step-by-step explanation:
Since the lines are parallel, same side interior angles are supplementary.
That allows us to solve for x.
7x + 17 + 5x - 5 = 180
12x = 168
x = 14
The angles 23yand 5x - 5 are supplementary, so the sum of the measures equals 180°.
23y + 5x - 5 = 180
We already know that x = 14.
23y + 5(14) - 5 = 180
23y = 115
y = 5