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Which of the following is the number of solutions to the system of equ [#permalink]
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14 Feb 2016, 10:51
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39% (01:05) correct 61% (01:03) wrong based on 187 sessions
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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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14 Feb 2016, 20:46
6x − 12 = 6y => 6x  6y = 12 => x y =2  1 5y + 5x = 15 =>x + y = 3  2 From equation 1 and 2 , we get 2x = 5 => x=2.5 y=.5 Therefore , the given system will have Exactly one solution Answer D
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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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15 Feb 2016, 06:29
I will also go with E. As \(X1/X2\)=\(Y1/Y2\neql{C1/C2}\)
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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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15 Feb 2016, 12:00
Skywalker18 wrote: 6x − 12 = 6y => 6x + 6y = 12 => x+y =2  1
5y + 5x = 15 =>x + y = 3  2 From equation 1 and 2 , we get 2=3 which is not possible Therefore the given system of equations has no solutions We can also view the given equation as 2 parallel lines . a1/a2=b1/b2 ≠ c1/c2
Answer E Hello, I think your answer is wrong, 1st equation should xy=2 Using both, we have x=2.5, y=.5 Answer D



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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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15 Feb 2016, 21:28
Skywalker18 wrote: 6x − 12 = 6y => 6x + 6y = 12 => x+y =2  1
5y + 5x = 15 =>x + y = 3  2 From equation 1 and 2 , we get 2=3 which is not possible Therefore the given system of equations has no solutions We can also view the given equation as 2 parallel lines . a1/a2=b1/b2 ≠ c1/c2
Answer E Shouldn't highlighted equation be : 6x6y=12 => xy = 2 equation 2 : x+y = 3 thus exactly 1 set of solution Ans:D



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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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Updated on: 15 Feb 2016, 22:38
Converting it to y=mx+c will help, no? We then have to check if these two are parallel. If they are not, we will have exactly one solution as equations themselves suggest that these are two lines.



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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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15 Feb 2016, 22:04
KS15 and nipunjain14  Thanks , edited !!
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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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20 Apr 2017, 16:51
Bunuel wrote: 6x − 12 = 6y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?
A. More than three B. Exactly three C. Exactly two D. Exactly one E. None Let’s simplify both equations: 6x − 12 = 6y 6x  6y = 12 x  y = 2 and 5y + 5x = 15 5x + 5y = 15 x + y = 3 Now if we add the two new equations x  y = 2 and x + y = 3, we would have 2x = 5 or x = 2.5. Since x + y = 3, we see that y must be 0.5. Thus we have exactly one solution  the ordered pair (2.5, 0.5). Answer: D
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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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26 Apr 2017, 10:08
These are not parallel line . For parallel line slope has to be same . Answer should be D



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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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14 May 2017, 11:25
Bunuel wrote: 6x − 12 = 6y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?
A. More than three B. Exactly three C. Exactly two D. Exactly one E. None a lot of people r getting D as an answer, request expert advice.... from (i)....xy=2 from (ii)...x+y=3 solving...x=5/2 and y=1/2 exactly one solution.. D should b trhe answer answer would b E i.e no solution if in the original statement no (i) its a () 6y on RHS



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Re: Which of the following is the number of solutions to the system of equ [#permalink]
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14 May 2017, 11:34



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Which of the following is the number of solutions to the system of equ [#permalink]
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22 May 2017, 13:14
Got tricked with the question . Exactly one solution as x= 5/2 and y = ½




Which of the following is the number of solutions to the system of equ
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22 May 2017, 13:14






