Question

Which expression is equivalent to (see the picture)

A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6

Answer 1

20x-21y+14

Explanation:

1/5(150x-80y+50-50x-25y+20) is equal to 1/5(150x) + 1/5(-80y) + 1/5(50) + 1/5 (-50x) + 1/5(-25y) + 1/5(20)

So if we simplify, we would have 30x + (-16y) + 10 + (-10x) + (-5y) + 4, or 30x -16y + 10 -10x -5y + 4

When organizing the values by variable, the equation would look like this -

30x - 10x -16y -5y + 10 + 4

Combining like terms will result in 20x -21y + 14.

Hope this helps!

Answer 2

A

Explanation:

`(1)/(5) (150x-80y+50-50x-25y+20)`

step 1 apply the 1/5 to everything that inside of the parenthesis

`(150x)/(5) =30x\\\\(-80y)/(5) =-16y\\\\(50)/(5) =10\\\\(-50x)/(5) =-10x\\\\(-25y)/(5) =-5y\\\\(20)/(5) =4`

we now have 30x - 16y + 10 - 10x - 5y + 4

Step 2 combine like terms

30x - 10x = 20x

-16y - 5y = - 21y

10 + 4 = 14

we're left with 20x - 21y + 14 Which corresponds with answer choice A