Q. Find an expression which represents the difference when (−10x+y) is subtracted from (7x−7y) in simplest terms.Answer:
Combine Terms: To find the difference when one expression is subtracted from another, we combine like terms after changing the sign of each term in the expression being subtracted.Subtracting (−10x+y) from (7x−7y) involves changing the sign of each term in (−10x+y) and then adding the result to (7x−7y).
Change Signs: First, change the sign of each term in (−10x+y) to get (10x−y).
Add Expressions: Now, add the resulting expression (10x−y) to (7x−7y).(7x−7y)+(10x−y)=7x+10x−7y−y
Combine Coefficients: Combine like terms by adding the coefficients of x together and the coefficients of y together.7x+10x=17x−7y−y=−8ySo, the expression becomes 17x−8y.
Final Expression: The final expression in simplest terms is 17x−8y.
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