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Chapter 3: Q1. CYU (page 157)

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.

x=y鈭�5

Short Answer

Expert verified

Yes, the given equationx=y鈭�5 is a linear equation and the given equationx=y鈭�5 in standard form is x鈭�y=鈭�5.

Step by step solution

01

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, 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 x=y鈭�5.

The given equation can be written as:

x=y鈭�5x鈭�y=鈭�5

Therefore, by comparing the given equationx鈭�y=鈭�5 with the equation Ax+By=C, it can be noticed that:

A=1,B=鈭�1and C=鈭�5.

As, the equationx=y鈭�5 can be written in the form Ax+By=C.

Therefore, yes, the given equationx=y鈭�5 is a linear equation.

02

Step 2. Write the given equation in standard form.

The given equation is x=y鈭�5.

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

The given equation in standard form is:

x鈭�y=鈭�5

Where, A=1,B=鈭�1and C=鈭�5.

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