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Difficulty: Sub 505 Level,    Algebra,                      
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Re: In the system of equations above, what is the value of x ? [#permalink]
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Kudos
This is probably a sub-500 level question:

Multiply second equation by 2, change the sign and cancel y;
After that x can be determined.

Ans is (D) 1.
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Re: In the system of equations above, what is the value of x ? [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

2x +2y =-4
4x + y = 1
In the system of equations above, what is the value of x ?

(A) -3
(B) -1
(C) 2/5
(D) 1
(E) \(1\frac{1}{4}\)



4x+y = 1
x+y = -2

Subtracting below equation from first => 3x = 3 => x = 1 - Option D)
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Re: In the system of equations above, what is the value of x ? [#permalink]
seems sub 500...I haven't taken an official GMAT yet...I hope this is a 550 question :shock: I need the test to be as easy as possible!

I did it by taking the second equation...creating a "y=" and subbing
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Re: In the system of equations above, what is the value of x ? [#permalink]
2x + 2y = -4
4x + y = 1

There is a easy method to get the answer in 20 seconds. To determine x, (difference of cross multiply coefficients of y with constants)/(difference of cross multiply coeff. of y with coeff. of x)

x = (2(1)-1(-4))/(2(4)-1(2)) = (2+4)/(8-2) = 6/6 = 1

Similarly we can determine y, (difference of cross multiply coefficients of x with constants)/(difference of cross multiply coeff. of x with coeff. of y)

y = (2(1)-4(-4))/(2(1)-4(2)) = (2-(-16))/(2-8) = (18/-6) = -3
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Re: In the system of equations above, what is the value of x ? [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(2x +2y =-4\)

\(4x + y = 1\)

In the system of equations above, what is the value of x ?

(A) -3
(B) -1
(C) \(\frac{2}{5}\)
(D) 1
(E) \(1\frac{1}{4}\)

Problem Solving
Question: 41
Category: Algebra Algebra Simultaneous equations
Page: 67
Difficulty: 550


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Given:
1. \(2x +2y =-4\)
2. \(4x + y = 1\)

Asked: In the system of equations above, what is the value of x ?

1. \(2x +2y =-4\)
2. \(4x + y = 1\); \(8x + 2y = 2\)
(2) - (1)
6x = 6
x =1

IMO D
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Re: In the system of equations above, what is the value of x ? [#permalink]
Can someone explain me this in more detail

i did x+y = -2 [-; Minus] 4x +y = 1 which gave me 3x=-3 which gave me answer b) -1
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Re: In the system of equations above, what is the value of x ? [#permalink]
Alextaller81

(x+y =-2) - (4x+y=1)
This will give you
-3x=-3
x=1

I got x-4x,in this you need to remember that the - sign is showing that 4x is negative and 4x>x so you can apply the rule that the bigger number is negative so the outcome will be negative

X-4x=-3,so in the end that’s how we get to -3x=-3.

I Hope This Made Sense!

Posted from my mobile device
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Re: In the system of equations above, what is the value of x ? [#permalink]
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