Chapter 3: Q2. CYU (page 157)

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.
$- 2 x - 3 = y$

Short Answer

Expert verified

Yes, the given equation $- 2 x - 3 = y$ is a linear equation and the given equation $- 2 x - 3 = y$ in standard form is $2 x + y = - 3$ .

Step by step solution

Step 1. Determine whether the given equation is a linear equation.

A linear equation is an equation that forms a line when it is graphed. Linear equations are written in the form $A x + B y = C$ , where A and B are not both zero and A, B and C are integers with greatest common factor of 1.

The given equation is $- 2 x - 3 = y$ .

The given equation can be written as:

$- 2 x - 3 = y - 3 = 2 x + y$

Therefore, by comparing the given equation $2 x + y = - 3$ with the equation $A x + B y = C$ , it can be noticed that:

$A = 2, B = 1$ and $C = - 3$ .

As, the equation $- 2 x - 3 = y$ can be written in the form $A x + B y = C$ .

Therefore, yes, the given equation $- 2 x - 3 = y$ is a linear equation.

Step 2. Write the given equation in standard form.

The given equation is $- 2 x - 3 = y$ .

The standard form of the linear equation is $A x + B y = C$ .

The given equation in standard form is:

$2 x + y = - 3$

Where, $A = 2, B = 1$ and $C = - 3$ .

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Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.
$- 2 x - 3 = y$

Short Answer

Step by step solution

Step 1. Determine whether the given equation is a linear equation.

Step 2. Write the given equation in standard form.

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Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.−2x−3=y

Short Answer

Step by step solution

Step 1. Determine whether the given equation is a linear equation.

Step 2. Write the given equation in standard form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.
$- 2 x - 3 = y$