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Chapter 3: Q1A. (page 153)

Determine whether each equation is a linear equation. Write the equation in standard form.

13y=鈭�1

Short Answer

Expert verified

The given equation13y=鈭�1 is a linear equation.

The given equation13y=鈭�1 in standard form is y=鈭�3.

Step by step solution

01

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 Ax+By=C, whereA andB are not both zero and A,B andC are integers with greatest common factor of 1.

The given equation is 13y=鈭�1.

The given equation can be written as:

13y=鈭�1y=鈭�3

Therefore, by comparing the given equationy=鈭�3 with the equation Ax+By=C, it can be noticed that:

A=0,B=1 and C=鈭�3.

As, the equation13y=鈭�1 can be written in the form Ax+By=C.

Therefore, the given equation13y=鈭�1 is a linear equation.

02

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

The given equation is 13y=鈭�1.

The standard form of the linear equation is Ax+By=C.

The given equation in standard form is:

y=鈭�3

Where A=0,B=1 and C=鈭�3.

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