Write an equivalent expression.(x+8) + 5yChoose the correct answer below.O A. (x+8) + 5y = 5(x+ 8) + yO B. (x+ 8) + 5y = x(8 + 5y)OC. (x+8) + 5y = x+ (8 + 5y)OD. (x+ 8) + 5y = 8 - (x+ 5y)Click to select your answer and then click Check Answer.All parts showing

Name: Write an equivalent expression.(x+8) + 5yChoose the correct answer be
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Description: Write an equivalent expression.(x+8) + 5yChoose the correct answer below.O A. (x+8) + 5y = 5(x+ 8) + yO B. (x+ 8) + 5y = x(8 + 5y)OC. (x+8) + 5y = x+ (8 + 5y)OD. (x+ 8) + 5y = 8 - (x+ 5y)Click to select your answer and then click Check Answer.All pa

Answered: Write an equivalent expression. (x+8) +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write an equivalent expression.
(x+8) + 5y
Choose the correct answer below.
O A. (x+8) + 5y = 5(x+ 8) + y
O B. (x+ 8) + 5y = x(8 + 5y)
OC. (x+8) + 5y = x+ (8 + 5y)
OD. (x+ 8) + 5y = 8 - (x+ 5y)
Click to select your answer and then click Check Answer.
All parts showing

Expert Solution

Step 1

The given expression is

$(x + 8) + 5 y$

Now we write the equivalent expression of this

$(x + 8) + 5 y = x + (8 + 5 y)$

$o p t i o n A :$ $(x + 8) + 5 y \neq 5 (x + 8) + y \neq 5 x + 40 + y$

$∴$ Option A is not correct.

$o p t i o n B :$ $(x + 8) + 5 y \neq x (8 + 5 y) \neq 8 x + 5 x y$

$∴$ Option B is not correct.

$o p t i o n C :$ $(x + 8) + 5 y = x + 8 + 5 y = x + (8 + 5 y)$

Therefore, $(x + 8) + 5 y = x + (8 + 5 y)$

$∴$ Option C is correct.

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