Question

Which expression is equivalent to One-fifth (150 x minus 80 y + 50 minus 50 x minus 25 y + 20)?

Answer 1

Answer:

150 x - 80 y + 50 - 50 x - 25 y + 20

Arranging like terms

150 x - 50 x -25 y - 80y + 50 + 20

100x - 105 y + 70

5 ( 20x - 21y + 14)

Answer 2

Answer:

20x - 21y + 14

Explanation:

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

collect like terms

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

add/subtract like terms

$\rightarrow \sf \dfrac{1}{5} (100x - 105y+70)$

distribute inside parenthesis

$\rightarrow \sf \dfrac{1}{5} (100x) + \dfrac{1}{5}( - 105y) + \dfrac{1}{5}(70)$

simplify the following

$\rightarrow \sf 20x -21y + 14$