<em><u>The equivalent expressions are:</u></em>
![7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21](https://tex.z-dn.net/?f=7%28-%5Cfrac%7B3%7D%7B4%7Dx%20-%203%29%20%3D%20%287%20%5Ctimes%20%5Cfrac%7B-3%7D%7B4%7Dx%29%20%2B%20%287%20%5Ctimes%20-3%29%5C%5C%5C%5C7%28-%5Cfrac%7B3%7D%7B4%7Dx%20-%203%29%20%3D%20%5Cfrac%7B-21x%7D%7B4%7D%20-%2021)
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
![7(-\frac{3}{4}x - 3)](https://tex.z-dn.net/?f=7%28-%5Cfrac%7B3%7D%7B4%7Dx%20-%203%29)
We have to find the equivalent expressions
By distributive property,
a(b + c) = ab + ac
Therefore,
![7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21](https://tex.z-dn.net/?f=7%28-%5Cfrac%7B3%7D%7B4%7Dx%20-%203%29%20%3D%20%287%20%5Ctimes%20%5Cfrac%7B-3%7D%7B4%7Dx%29%20%2B%20%287%20%5Ctimes%20-3%29%5C%5C%5C%5C7%28-%5Cfrac%7B3%7D%7B4%7Dx%20-%203%29%20%3D%20%5Cfrac%7B-21x%7D%7B4%7D%20-%2021)
Thus equivalent expressions are found
Answer:
y = 90 -5/2 x
Step-by-step explanation:
The angle on the left equals x+3x+x = 5x
The angle on the right equals 2y
The two angles are same side interior angles which are supplementary because the lines are parallel
5x+2y = 180
Solving for y
2y = 180-5x
Divide by 2
2y/2 = 180/2 -5x/2
y = 90 -5/2 x