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

User Kaity
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1 Answer

6 votes

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


User Hussein Abdallah
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7.6k points