Chapter 6: Q12. (page 331)

Solve each equation or formula for the variable specified.
$5 x - 10 y = 40$ , for y

Short Answer

Expert verified

The required equation is represented by $y = \frac{1}{2} x - 4$ .

Step by step solution

Step 1. Determine the method that can be used.

Isolation of y on any side of the equation will represent the required equation and to get this, perform some operations on the provided equation.

Step 2. Take the help of the obtained method.

Perform subtraction of $5 x$ on both sides of the provided equation.

role="math" localid="1647504507863" $\begin{matrix} 5 x - 10 y - 5 x = 40 - 5 x \\ - 10 y = 40 - 5 x \end{matrix}$

Perform division of $- 10$ on both sides of the obtained equation.

role="math" localid="1647504547855" $\begin{matrix} \frac{- 10 y}{- 10} = \frac{40 - 5 x}{- 10} \\ y = \frac{1}{2} x - 4 \end{matrix}$

Step 3. Write the conclusion.

The obtained is $y = \frac{1}{2} x - 4$ so it is required equation.

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Solve each equation or formula for the variable specified.
$5 x - 10 y = 40$ , for y

Short Answer

Step by step solution

Step 1. Determine the method that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

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Solve each equation or formula for the variable specified. 5x−10y=40, for y

Short Answer

Step by step solution

Step 1. Determine the method that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Discrete Mathematics

Statistics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve each equation or formula for the variable specified.
$5 x - 10 y = 40$ , for y