Question

If a=10x,b=10y and aybx=100 proved that:xy=1

Answer 1

Step-by-step explanation:

Given:

a=10x ............ (1)

b=10y..............(2)

aybx=100........(3)

Substituting the values of a and b from equations (1) & (2) in equation (3).

$10x \times y \times 10y \times x = 100 \\ 100 {x}^{2} {y}^{2} = 100 \\ {x}^{2} {y}^{2} = \frac{100}{100} \\ {x}^{2} {y}^{2} = 1 \\ xy = 1 \\ thus \: proved \:$

Answer 2

Step-by-step explanation:

given,

a= 10x

b= 10y

ay.bx = 100

we have,

10x . 10y = 100

100xy = 100

xy = 100\100

xy = 1

which is proved