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x + y = 5 and x y = 1
[#permalink]
07 Jul 2022, 05:52
07 Jul 2022, 05:52
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\(x + y = 5\)
\(x − y = 1\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
\(x − y = 1\)
Quantity A |
Quantity B |
x |
y |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
GRE Instructor
Joined: 09 Nov 2021
Status:GRE Tutor London and Online
Affiliations: Private GMAT/GRE Tutor London
Posts: 65
Re: x + y = 5 and x y = 1
[#permalink]
07 Jul 2022, 06:31
07 Jul 2022, 06:31
1
Note that we are given two equations and two unknowns. It follows that we can, as long as the equations are distinct, find each unknown.
Simply add the two equations to each other (all the x-values together and all the y-values together):
x+y = 5
x- y = 1
---------
2x = 6
==> x = 3
==> y = 2
Therefore A is greater.
_________________
Simply add the two equations to each other (all the x-values together and all the y-values together):
x+y = 5
x- y = 1
---------
2x = 6
==> x = 3
==> y = 2
Therefore A is greater.
_________________
GRE / GMAT Tutor London and Online since 2005. Writer, editor, contributor for test-prep materials.
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As ever, feel free to get in touch for impartial GRE / GMAT advice or to enquire about lessons at:
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