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Chapter 3: Q65. (page 122)

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

鈥�鈥�23y-6=1-x

Short Answer

Expert verified

The standard form of the equation is 3x+2y=21and localid="1647606012634" A=1,鈥�鈥�B=2,鈥�鈥�C=6.

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.

23y-6=1-x

To convert it into standard form, add x and 6on both sides of equation.

23y鈭�6+x+6=1鈭�x+x+6x+23y=7

Now, multiply whole equation by 3.

3x+23y=373x+2y=21

Thus, the standard form of the equation is 3x+2y=21.

03

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

Comparing 3x+2y=21with standard form Ax+By=C, we get

A=3B=2C=21

Hence, the standard form of the equation is 3x+2y=21 and A=3,鈥�鈥�B=2,鈥�鈥�C=21.

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