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What is the value of z/x? Sun Apr 11, 2021 12:05 pm
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C
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63% (00:53) correct 38% (01:08) wrong based on 8 sessions

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What is the value of \(\frac{z}{x}\)?

(1) \(2x-y+3z=5\)
(2) \(x+2y-z=-10\)

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C
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What is the value of z/x? Sun Apr 11, 2021 10:42 pm
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C: divide both the equations with "X". multiply the first equation by 2 and add both the screens.
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What is the value of z/x? Sun Apr 11, 2021 10:47 pm
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what about the solution
X=0, Z= 0 should we ignore this??

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MarmikUpadhyay
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What is the value of z/x? Updated on: Mon Apr 12, 2021 2:33 am
Originally posted by MarmikUpadhyay on Mon Apr 12, 2021 12:19 am.
Last edited by MarmikUpadhyay on Mon Apr 12, 2021 2:33 am, edited 1 time in total.
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\(\frac{z}{x}\) =?

Statement 1:
2x - y + 3z = 5
If we try to find out the value of \(\frac{z}{x}\), it will always be in terms of y for the given equation.
Statement 1 is Not Sufficient.

Statement 2:
x + 2y - z = -10
Here also, if we try to find out the value of \(\frac{z}{x}\), it will always be in terms of y for the given equation.
Statement 2 is also Not Sufficient.

Statement 1 and Statement 2 combined:
2x - y + 3z = 5 and x + 2y - z = -10
Multiplying first equation by 2 and adding it to second equation, we get:
(4 + 1)x + (-2 + 2)y + (6 - 1)z = 10 - 10
=> 5x + 5z = 0
=> x + z = 0
=> z = -x
=> \(\frac{z}{x}\) = -1
But if either of x or z is 0, then \(\frac{z}{x}\) can be not defined or 0 respectively.
Statement 1 and Statement 2 together are Not Sufficient.

So, correct answer is option E.
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What is the value of z/x? Mon Apr 12, 2021 1:17 am
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what about the solution
X=0, Z= 0 should we ignore this??

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No, we should not. For an answer to be C, it should be mentioned that \(xz \neq 0\). In current form the answer is E, because of x = z = 0, then z/x would be undefined and not -1.

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