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2x+6y = 7 x-my = -2 For which of the following values of m will the

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2x+6y = 7 x-my = -2 For which of the following values of m will the [#permalink] New post   19 Feb 2020, 10:02
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2x+6y = 7
x-my = -2
For which of the following values of m will the system equations above have no solution?

(A) -6

(B) -3

(C) 0

(d) 3

(E) 6

Source: https://gmatquantum.com/
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B
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Re: 2x+6y = 7 x-my = -2 For which of the following values of m will the [#permalink] New post   22 Feb 2020, 23:13
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Solution



Given
In this question, we are given that
    • Two simultaneous equations: 2x + 6y = 7 and x – my = -2

To find
We need to determine
    • The value of m for which the given equations will have no solution

Approach and Working out
The equations will have no solution if the ratio of the coefficients of the variables will not be equal to the ratio of the constant terms
    • Hence, 2/1 = 6/-m
    Or, m = -6/2 = -3

Thus, option B is the correct answer.

Correct Answer: Option B
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Re: 2x+6y = 7 x-my = -2 For which of the following values of m will the [#permalink] New post   19 Feb 2020, 10:11
sjuniv32 wrote:
2x+6y = 7
x-my = -2
For which of the following values of m will the system equations above have no solution?

(A) -6

(B) -3

(C) 0

(d) 3

(E) 6

Source: https://gmatquantum.com/


B is the answer.

2x+6y = 7
implies
x+3y=7/2=3.5---A
now if m=-3
means
x+3y=-2---B
so
A says x+3y=3.5
and B says x+3y=-2 so same equations are equal to different values so inconsistent and hence no solution
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Re: 2x+6y = 7 x-my = -2 For which of the following values of m will the [#permalink] New post   22 Feb 2020, 03:14
For an equation in the form of ax+by=c, we know that if
a1/a2 = b1/b2 and not equal to c1/c2 then the system of equations will have no solution.

Hence 2/1 = 6/-m gives m=-3 as well as not equal to c1/c2 ie 7/-2.

or, right answer is Option B.
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Re: 2x+6y = 7 x-my = -2 For which of the following values of m will the [#permalink] New post   17 Mar 2020, 11:11
[quote="sjuniv32"] 2x+6y = 7
x-my = -2
For which of the following values of m will the system equations above have no solution?

(A) -6

(B) -3

(C) 0

(d) 3

(E) 6



[b]Can it be solved in some other ways?
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Re: 2x+6y = 7 x-my = -2 For which of the following values of m will the [#permalink]
17 Mar 2020, 11:11
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