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3y   − z = 8 and the length of RT is 4.

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3y   − z = 8 and the length of RT is 4. [#permalink] New post 21 May 2019, 02:44
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\(3y − z = 8\) and the length of \(RT = 4\).


Quantity A
Quantity B
The length of segment RS
2.5


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: 3y   − z = 8 and the length of RT is 4. [#permalink] New post 21 May 2019, 10:02
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\(3y − z = 8\) and the length of \(RT = 4\).


Quantity A
Quantity B
The length of segment RS
2.5

First, note that segment RS = y. So, instead of considering Quantity A as RS, think of it as y. Now, just solve algebraically for y.

Based on the figure we know that y + z = length RT = 4 and that 3y - z = 8 . Then, stack and solve to eliminate z in a system of equations.

3y - z = 8
+ (y + z) = 4
4y = 12

Divide the equation by 4 to find that y = 3. Therefore, Quantity A > 2.5 so select Choice A.
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Re: 3y   − z = 8 and the length of RT is 4.   [#permalink] 21 May 2019, 10:02
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3y   − z = 8 and the length of RT is 4.

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