9xy is the like term of 7xy as ...9xy and 7xy contains the same variable (xy).. if we have to find like terms then.. we we should see that they both contains same variable ..numbers doesn't matter ..they can be sake itlr different.. therefore 9xy is the like term of 7xy and visa versa..

Like terms are terms that have the same variables raised to the same power. In this case, the like term is 9xy.

Explanation:
Like Terms:
Like terms are terms that have the same variables raised to the same power. In this case, the like term is 9xy.

Breaking Down the Term:
To understand why 9xy is a like term to 7xy, let's break down the term into its components.

9: This is a coefficient, which is a number that multiplies the variables. Coefficients do not need to match for terms to be like terms. In this case, the coefficients are different (9 and 7), but that doesn't matter for determining if the terms are like terms.

x: This is a variable raised to the power of 1. The variable must match exactly for terms to be like terms. In this case, both terms have an x variable, so they match.

y: This is also a variable raised to the power of 1. Again, the variable must match exactly for terms to be like terms. In this case, both terms have a y variable, so they match.

Conclusion:
Since both terms have the same variables raised to the same power (x and y raised to the power of 1), they are considered like terms. The coefficient (9 and 7) does not affect whether the terms are like terms or not. Therefore, the correct answer is D) 9xy.

9xy is the like term as any equation whom variables are same are considered as like terms.