Chapter 3: Q76. (page 115)

Simplify each expression.
$76 . (5 x - y) + (- 8 x + 7 y)$

Short Answer

Expert verified

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

Step by step solution

Step-1 – Apply the concept of like terms

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

Step-2 – Example for the like terms

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

Step-3 – Simplify the expression

Consider the provided expression.

$(5 x - y) + (- 8 x + 7 y)$

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

$(5 x - y) + (- 8 x + 7 y) = 5 x - y - 8 x + 7 y$

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

$\begin{array}{l} (5 x - y) + (- 8 x + 7 y) = 5 x - y - 8 x + 7 y \\ = 5 x - 8 x - y + 7 y \\ = - 3 x + 6 y \end{array}$

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

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Simplify each expression.
$76 . (5 x - y) + (- 8 x + 7 y)$

Short Answer

Step by step solution

Step-1 – Apply the concept of like terms

Step-2 – Example for the like terms

Step-3 – Simplify the expression

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Simplify each expression.76.5x-y+-8x+7y

Short Answer

Step by step solution

Step-1 – Apply the concept of like terms

Step-2 – Example for the like terms

Step-3 – Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Calculus

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Simplify each expression.
$76 . (5 x - y) + (- 8 x + 7 y)$