Question

What is the property of real numbers illistrated by the equation 7(x-y)=7x-7y?

Answer 1

we are given

$7(x-y)=7x-7y$

we can see that 7 is multiplied with x and y

and we know that

Distribution property:

$m(a-b)=m*a-m*b$

Here, m is distributed inside (a-b)

While 7 is distributed inside (x-y)

so, we use distributive property

now, we will solve this equation

$7(x-y)=7x-7y$

$7x-7y=7x-7y$

add both sides 7y

$7x-7y+7y=7x-7y+7y$

$7x=7x$

Subtract both sides by 7x

$7x-7x=7x-7x$

$0=0$

We can see that there is no specific values of x and y for which this equation is defined

so, this equation is identity

so, the solution will be  all real numbers.........Answer