Question

Solve for x from the following xy=12; yz=20; zx=15

Answer 1

Answer:

x=3

Step-by-step explanation:

xy=12.......(i)

yz=20.......(ii)

zx=15.......iii)

Now find value of y from eq.ii)

y=20/z........iv)

after that find value of z from eq. iii )

z=15/x

Put this value in eq. iv)

y= 20/15/x

y=20x/15

Now put this value in eq. I)

x20x/15=12

20x^2=12*15

20x^2=180

x^2,=9

x=3

Now you can also find out the value of the other two variables.

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Answer 2

The value of x is 3.

Given:-

xy = 12

yz = 20

zx = 15

To Find:-

The value of x.

Solution:-

We can simply calculate the value of x by using the following procedure.

As

xy = 12

yz = 20

zx = 15

Here, on changing the sides

y = 20/z

z = 15/x

So,

y = 20/15/x

y = 20x/15

Putting this value in xy

$xy = 12$

$x \times \frac{20x}{15} = 12$

$\frac{ {20x}^{2} }{15} = 12$

$20 {x}^{2} = 12 \times 15$

$20 {x}^{2} = 180$

${x}^{2} = \frac{180}{20}$

${x}^{2} = 9$

$x = \sqrt{9}$

$x = 3$

Hence, The value of x is 3.

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