Question is Incomplete; Complete question is given below.
Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options. Negative 80 x + 24.5 y minus 56 Negative 80 x + 28 y minus 56 80 x + 28 y + 56 4 (negative 20 x + 7 y minus 14) Negative 4 (negative 20 x + 7 y minus 14)
Answer:
Negative 80 x + 28 y minus 56
4 (negative 20 x + 7 y minus 14)
Step-by-step explanation:
Given:
![8(-10x+3.5y-7)](https://tex.z-dn.net/?f=8%28-10x%2B3.5y-7%29)
We need to find the equivalent expression for given expression.
Solution:
![8(-10x+3.5y-7)](https://tex.z-dn.net/?f=8%28-10x%2B3.5y-7%29)
First we will apply distributive property for given expression.
![a(x+y) =ax+ay](https://tex.z-dn.net/?f=a%28x%2By%29%20%3Dax%2Bay)
So we get;
![8\times-10x+8\times3.5y-8\times7\\\\-80x+28y-56](https://tex.z-dn.net/?f=8%5Ctimes-10x%2B8%5Ctimes3.5y-8%5Ctimes7%5C%5C%5C%5C-80x%2B28y-56)
Hence first expression equivalent to given expression is
.
Now again evaluating the expression we get;
We will take 4 as common factor from the expression we get;
![-4\times20x+4\times7y-4\times14\\\\4(-20x+7y-14)](https://tex.z-dn.net/?f=-4%5Ctimes20x%2B4%5Ctimes7y-4%5Ctimes14%5C%5C%5C%5C4%28-20x%2B7y-14%29)
Hence second expression equivalent to given expression is
.