Question

Evaluate :: (x/y) + (y/z) + (z/x) for x = -2, y = -1, z = 3

1 mark

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Answer 1

Answer:

-2/-1+-1/3+3/-2

-2/-1+-1/3+3/-2=2-1/3-3/2

-2/-1+-1/3+3/-2=2-1/3-3/224/12-4/12-18/12

-2/-1+-1/3+3/-2=2-1/3-3/224/12-4/12-18/122/12

-2/-1+-1/3+3/-2=2-1/3-3/224/12-4/12-18/122/121/6

$so \frac{1}{6} is \: the \: answer$

Answer 2

Answer :-

Value of the expression = 1/6.

Explanation :-

We are given with values of x,y and z.

• x = -2.
• y = -1.
• z = 3.

Put the values in the given expression.

$\sf\implies{ \dfrac{x}{y} + \dfrac{y}{z} + \dfrac{z}{x} }$

$\sf\implies{ \dfrac{ - 2}{ - 1} + \dfrac{ - 1}{3} + \dfrac{3}{ - 2} }$

$\sf\implies{ \dfrac{2}{1} + \dfrac { - 1}{3} + \dfrac{ - 3}{2} }$

$\sf\implies{ \dfrac{12 - 2 - 9}{6} }$

$\sf\implies{ \dfrac{10 - 9}{6} }$

$\implies \underline{\boxed{\sf\red{ \dfrac{1}{6} }}}$

Therefore, Value of the expression = 1/6.