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

Option A

Explanation:

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Answer 2

The equivalent expression is 20x - 21y + 14

Solution:

Given that we have to find the equivalent expression

Given expression is:

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

To find the equivalent expression, we have to combine the like terms

The like terms are terms that have the same variables and powers. The coefficients do not need to match

Here, like terms are 150x and -50x and -80y and -25y

`(1)/(5)(150x-50x -80y-25y+50+20)\\\\\text{Combine the like terms}\\\\(1)/(5)(100x - 105y+50+20)\\\\\text{Add the constants }\\\\(1)/(5)(100x-105y + 70)\\\\\text{Divide each term by 5}\\\\20x -21y +14`

Thus the equivalent expression is 20x - 21y + 14