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

Answer:

A

Step-by-step explanation:

$\frac{1}{5} (150x-80y+50-50x-25y+20)$

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

$\frac{150x}{5} =30x\\\\\frac{-80y}{5} =-16y\\\\\frac{50}{5} =10\\\\\frac{-50x}{5} =-10x\\\\\frac{-25y}{5} =-5y\\\\\frac{20}{5} =4$

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

Answer 2

Answer:

20x-21y+14

Step-by-step 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!