Q. Find an expression which represents the sum of (7x−y) and (−3x−5y) in simplest terms.Answer:
Combine Like Terms: To find the sum of two algebraic expressions, we combine like terms, which means adding the coefficients of the same variable.So, we add the coefficients of x together and the coefficients of y together.(7x−y)+(−3x−5y)=(7x+(−3x))+(−y+(−5y))
Add Coefficients: Now we perform the addition of the coefficients for x and y separately.For x: 7x+(−3x)=4xFor y: −y+(−5y)=−6y
Final Expression: Combine the results from the previous step to get the final expression. 4x−6y This is the simplest form of the sum of the two given expressions.
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