Question

When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?

Answer 1

Answer:

$-0.8x + 4.8y + 16$          

Step-by-step explanation:

We have to simplify the given expression:

$4(0.5x + 2.5y-0.7x-1.3y+4)$

First we group all the like terms of x.

$4((0.5x-0.7x) + 2.5y-1.3y+4))\\=4(-0.2x+ 2.5y-1.3y+4)$

Next we group all the like terms of y.

$4(-0.2x+ (2.5y-1.3y)+4)\\=4(-0.2x+1.2y+4)$

Now, we use distributive property for the multiplication,

$4(-0.2x+1.2y+4)\\=(4\times -0.2x) + (4\times 1.2y) + (4\times 4)\\=-0.8x + 4.8y + 16$

is the required simplified expression.