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Chapter 3: Q63. (page 122)

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

63.鈥�鈥�鈥�6x=3y-9

Short Answer

Expert verified

The standard form of the equation is 2x-y=-3and A=2,鈥�鈥�B=-1,鈥�鈥�C=-3.

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.

6x=3y-9

To convert it into standard form, subtract 3yon both sides of equation and divide whole equation by 3.

6x鈭�3y=3y鈭�9鈭�3y6x鈭�3y=鈭�92x鈭�y=鈭�3

Thus, the standard form of the equation is 2x-y=-3.

03

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

Comparing 2x-y=-3with standard form Ax+By=C, we get

A=2B=鈭�1C=鈭�3

Hence, the standard form of the equation is 2x-y=-3 and A=2,鈥�鈥�B=-1,鈥�鈥�C=-3.

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