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Chapter 3: Q76. (page 115)

Simplify each expression.

76.5x-y+-8x+7y

Short Answer

Expert verified

The simplified form of the expression is -3x+6y.

Step by step solution

01

Step-1 – Apply the concept of like terms

In an expression, the terms containing the same variable are like terms.

02

Step-2 – Example for the like terms

In the expression 4p-2q+p+3q, the like terms are the terms which contain variable. So, the terms containing the variable p are 4pandp and the terms containing the variable q -2qand3q.

03

Step-3 – Simplify the expression

Consider the provided expression.

5x-y+-8x+7y

Open the brackets. Recall that negative sign when multiplied with positive results in negative sign.

5x-y+-8x+7y=5x-y-8x+7y

Group the like terms. Constant terms together, terms with variable x together and term with variable y together.

(5x鈭�y)+(鈭�8x+7y)=5x鈭�y鈭�8x+7y=5x鈭�8x鈭�y+7y=鈭�3x+6y

Hence, the simplified form of the expression 5x-y+-8x+7y is -3x+6y.

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