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Chapter 3: Q61. (page 122)

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

鈥�鈥�x=y

Short Answer

Expert verified

The standard form of the equation is x-y=0 and A=1,鈥�鈥�B=-1,鈥�鈥�C=0.

Step by step solution

01

Step-1 – Apply the concept of Standard form of equation 

Any linear equation with variables xand ycan be expressed in the standard form as:

Ax+By=C

Where A, B, and C are all integers with greatest common factor as 1.

02

Step-2 – Convert the equation into standard form

Consider the given equation.

x=y

To convert it into standard form, subtract yon both sides of equation.

x=yx鈭�y=y鈭�yx鈭�y=0

Thus, the standard form of the equation is x-y=0.

03

Step-3 – Identification of A, B, and C

Comparing x-y=0with standard form Ax+By=C, we get

A=1B=鈭�1C=0

Hence, the standard form of the equation is x-y=0 and A=1,鈥�鈥�B=-1,鈥�鈥�C=0.

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