Chapter 2: Q. 269 (page 252)

In the following exercise, solve each linear equation.
$- 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4$

Short Answer

Expert verified

The solution of the given equation is $y = - 3 .$

Step by step solution

Step 1. Given information

The given equation is $- 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4$ .

We have to solve the given equation.

Step 2. Solving the given equation

$\begin{array}{l} Now, \\ \Rightarrow - 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4 \\ \Rightarrow - 15 + 8 - 20 y = - 7 y + 28 + 4 [UsetheDistributiveProperty] \\ \Rightarrow - 7 - 20 y = - 7 y + 32 [Simplify] \\ \Rightarrow - 7 - 20 y + 7 y = - 7 y + 32 + 7 y [Add 7 y boththesides] \\ \Rightarrow - 7 - 13 y = 32 \\ \Rightarrow - 7 - 13 y + 7 = 32 + 7 [Add7boththesides] \\ \Rightarrow - 13 y = 39 \\ \Rightarrow \frac{- 13 y}{- 13} = \frac{39}{- 13} [Divideboththesidesby - 13] \\ \Rightarrow y = - 3 \end{array}$

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In the following exercise, solve each linear equation.
$- 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving the given equation

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In the following exercise, solve each linear equation.−15+42−5y=−7y−4+4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving the given equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercise, solve each linear equation.
$- 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4$