Question

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

20 x minus 21 y + 14

20 x + 11 y + 14

20 x minus 11 y + 6

20 x + 21 y + 6

Answer 1

20x - 21y + 14

Step-by-step explanation:

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

collect like terms

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

add/subtract like terms

`\rightarrow \sf (1)/(5) (100x - 105y+70)`

distribute inside parenthesis

`\rightarrow \sf (1)/(5) (100x) + (1)/(5)( - 105y) + (1)/(5)(70)`

simplify the following

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

Answer 2

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)