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What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5)
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11 Jan 2022, 07:28
11 Jan 2022, 07:28
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Question Stats:
85% (01:50) correct
14% (03:54) wrong based on 27 sessions
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2x≠y
5x≠4y
What is the value of 5x−4y2x−y3yy−2x+5 ?
A. 12
B. 32
C. 52
D. 72
E. 92
5x≠4y
What is the value of 5x−4y2x−y3yy−2x+5 ?
A. 12
B. 32
C. 52
D. 72
E. 92
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Posts: 6218
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Re: What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5)
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11 Jan 2022, 07:50
11 Jan 2022, 07:50
Carcass wrote:
2x≠y
5x≠4y
What is the value of 5x−4y2x−y3yy−2x+5 ?
A. 12
B. 32
C. 52
D. 72
E. 92
5x≠4y
What is the value of 5x−4y2x−y3yy−2x+5 ?
A. 12
B. 32
C. 52
D. 72
E. 92
Key concept: It's important to recognize that the question is really asking us "What is the value of the expression for ALL values of x and y (except the exclusions noted)?"
So let's see what the expression evaluates to when x = 1 and y = 1..
5x−4y2x−y3yy−2x+5=5(1)−4(1)2(1)−(1)3(1)(1)−2(1)+5
=113−1+5
=12
Answer: A
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Re: What is the value of (5x - 4y)/(2x - y)/(3y/(y-2x) + 5)
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08 Sep 2022, 10:55
08 Sep 2022, 10:55
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5x−4y2x−y3yy−2x+5
Multiplying both numerator and denominator of 3yy−2x by -1 we get
= 5x−4y2x−y−3y2x−y+5
= 5x−4y2x−y−3y+5∗(2x−y)2x−y = 5x−4y−3y+5∗(2x−y)
= 5x−4y−3y+10x−5y = 5x−4y−8y+10x = 5x−4y2∗(5x−4y) = 12
So, Answer will be A
Hope it helps!
Multiplying both numerator and denominator of 3yy−2x by -1 we get
= 5x−4y2x−y−3y2x−y+5
= 5x−4y2x−y−3y+5∗(2x−y)2x−y = 5x−4y−3y+5∗(2x−y)
= 5x−4y−3y+10x−5y = 5x−4y−8y+10x = 5x−4y2∗(5x−4y) = 12
So, Answer will be A
Hope it helps!
