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Chapter 2: Q6. (page 65)

Write each equation in standard form. Identify A,Band C.

y=3x-5

Short Answer

Expert verified

The required values are A=3,B=-1,C=5.

Step by step solution

01

– Standard form of a linear equation.

The standard form of a linear equation is Ax+By=C, where A鈮�0,Aand B are not both zero.

02

– Rewrite the given linear equation in the standard form.

The given equation is:

y=3x-5

Subtract 3xfrom both sides.

y鈭�3x=3x鈭�5鈭�3x鈭�3x鈭�y=鈭�5

Multiply both sides by -1 .

鈭�3x鈭�y脳鈭�1=鈭�5脳鈭�13x鈭�y=5

03

– Find the required values.

Now compare the equation 3x-y=5with the standard form of the linear equation Ax+By=Cto find the values of A,B,C.

A=3B=鈭�1C=5

Thus, the required values are A=3,B=-1,C=5.

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