Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 08 Dec 2013, 03:06

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# x-y = 3 2x= 2y+6 The system of equations above has how many

Author Message
TAGS:
Manager
Joined: 11 May 2007
Posts: 109
Followers: 1

Kudos [?]: 11 [0], given: 0

x-y = 3 2x= 2y+6 The system of equations above has how many [#permalink]  15 Nov 2007, 13:21
x-y = 3
2x= 2y+6

The system of equations above has how many
solutions?

(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many
Manager
Joined: 08 Nov 2007
Posts: 101
Followers: 1

Kudos [?]: 1 [0], given: 0

Re: Equations & Solutions [#permalink]  15 Nov 2007, 13:44
yogachgolf wrote:
x-y = 3
2x= 2y+6

The system of equations above has how many
solutions?

(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many

A. None - they are merely restatements of each other.
Manager
Joined: 11 May 2007
Posts: 109
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: Equations & Solutions [#permalink]  15 Nov 2007, 13:47
yogachgolf wrote:
x-y = 3
2x= 2y+6

The system of equations above has how many
solutions?

(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many

I thought it's A as well. But OA is E?
Manager
Joined: 08 Nov 2007
Posts: 101
Followers: 1

Kudos [?]: 1 [0], given: 0

Re: Equations & Solutions [#permalink]  15 Nov 2007, 13:52
yogachgolf wrote:
yogachgolf wrote:
x-y = 3
2x= 2y+6

The system of equations above has how many
solutions?

(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many

I thought it's A as well. But OA is E?

I see your point ... A + B can be an infinite number of things... I suppose we answered it on the basis that the two solutions given gave us no CERTAIN solutions...

I think the question is a touch ambiguous, but I suppose we could have read it more closely.
CEO
Joined: 29 Aug 2007
Posts: 2510
Followers: 44

Kudos [?]: 422 [0], given: 19

Re: Equations & Solutions [#permalink]  15 Nov 2007, 14:19
alrussell wrote:
yogachgolf wrote:
yogachgolf wrote:
x-y = 3
2x= 2y+6

The system of equations above has how many solutions?

(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many

I thought it's A as well. But OA is E?

I see your point ... A + B can be an infinite number of things... I suppose we answered it on the basis that the two solutions given gave us no CERTAIN solutions...

I think the question is a touch ambiguous, but I suppose we could have read it more closely.

seems ok but we cannot solve the equations do not provide any value for x and y.
Intern
Joined: 06 Sep 2007
Posts: 8
Followers: 0

Kudos [?]: 0 [0], given: 0

OA is E [#permalink]  15 Nov 2007, 22:12
to satisfy x-y=3

(1,-2)
(2,-1)
......
infinitely

two equation are same.

If we think these based on function, these are same linear.

Last edited by LEE SANG IL on 16 Nov 2007, 21:42, edited 1 time in total.
Manager
Joined: 25 Jul 2007
Posts: 108
Followers: 1

Kudos [?]: 9 [0], given: 0

Any single linear equation with more than 1 variable in it has infinite solutions (provided no constraints are given).

Edit: I do not see any ambiguity in the question.

The number of solutions for a linear equation is the number of possible values the variables can have so as to satisfy the equation. There are infinite possible values for the variables x & y in the given equation and therefore there are infinite solutions.
Similar topics Replies Last post
Similar
Topics:
How many solutions does equation (x^2-25)^2=x^2-10x+25 have 6 22 Apr 2006, 17:07
How many roots does this equation have? 2^x = x - 1 0 1 2 3 11 05 Nov 2007, 09:53
The OG has the following equation.... -3y <= -2x - 6 It 4 08 May 2008, 13:13
How many points on line segment 2x+y=12, where 3 25 Jul 2008, 02:03
In the system of equations above, what is the value of x? 1 13 May 2012, 12:04
Display posts from previous: Sort by