Chapter 2: Q. 18 (page 101)

State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.
$2 x + y = 11$

Short Answer

Expert verified

Yes, the equation is linear. It is of the form $y = m x + b$ .

Step by step solution

Step 1. Defining the linear equation

By definition, we have that a linear equation is of the form $y = m x + b$ .

Step 2. Simplifying the equation

We have:

$\begin{array}{l} 2 x + y = 11 \\ y = - 2 x + 11 \\ y = m x + b \end{array}$

Step 3. Determining the final equation

The given equation is a linear equation; it is of the form $y = m x + b$ .

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State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.
$2 x + y = 11$

Short Answer

Step by step solution

Step 1. Defining the linear equation

Step 2. Simplifying the equation

Step 3. Determining the final equation

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State whether each equation or function is linear. Write yes or no. Ifno, explain your reasoning.2x+y=11

Short Answer

Step by step solution

Step 1. Defining the linear equation

Step 2. Simplifying the equation

Step 3. Determining the final equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.
$2 x + y = 11$