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Chapter 2: Q8. (page 65)

Write each equation in standard form. Identify A,B and C.

y=23x+1

Short Answer

Expert verified

The required values are A=2,B=-3,C=-3.

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=23x+1y=2x+33

Multiply both sides by 3.

3y=2x+3

Subtract 3y and 3 from both sides.

3y鈭�3y鈭�3=2x+3鈭�3y鈭�3鈭�3=2x鈭�3y

Interchange both sides.

2x-3y=-3

03

– Find the required values.

Now compare the equation 2x-3y=-3with the standard form of the linear equation Ax+By=Cto find the values of A,B,C.

A=2B=鈭�3C=鈭�3

Thus, the required values are A=2,B=-3,C=-3.

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