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Re: What is the value of z/x? [#permalink]
what about the solution
X=0, Z= 0 should we ignore this??

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Re: What is the value of z/x? [#permalink]
Expert Reply
\(\frac{z}{x}\) =?

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.

Originally posted by MarmikUpadhyay on 12 Apr 2021, 01:19.
Last edited by MarmikUpadhyay on 12 Apr 2021, 03:33, edited 1 time in total.
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Re: What is the value of z/x? [#permalink]
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