Chapter 3: Q1A. (page 153)

Determine whether each equation is a linear equation. Write the equation in standard form.
$\frac{1}{3} y = - 1$

Short Answer

Expert verified

The given equation $\frac{1}{3} y = - 1$ is a linear equation.

The given equation $\frac{1}{3} y = - 1$ in standard form is $y = - 3$ .

Step by step solution

Part a. 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 $\frac{1}{3} y = - 1$ .

The given equation can be written as:

$\begin{matrix} \frac{1}{3} y = - 1 \\ y = - 3 \end{matrix}$

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

$A = 0$ , $B = 1$ and $C = - 3$ .

As, the equation $\frac{1}{3} y = - 1$ can be written in the form $A x + B y = C$ .

Therefore, the given equation $\frac{1}{3} y = - 1$ is a linear equation.

Part a. Step 2. Write the given equation in standard form.

The given equation is $\frac{1}{3} y = - 1$ .

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

The given equation in standard form is:

$y = - 3$

Where $A = 0$ , $B = 1$ and $C = - 3$ .

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Determine whether each equation is a linear equation. Write the equation in standard form.
$\frac{1}{3} y = - 1$

Short Answer

Step by step solution

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

Part a. Step 2. Write the given equation in standard form.

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Determine whether each equation is a linear equation. Write the equation in standard form.13y=−1

Short Answer

Step by step solution

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

Part a. Step 2. Write the given equation in standard form.

One App. One Place for Learning.

Most popular questions from this chapter

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Decision Maths

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Determine whether each equation is a linear equation. Write the equation in standard form.
$\frac{1}{3} y = - 1$