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Chapter 3: Q62. (page 122)

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

3x=2-5y

Short Answer

Expert verified

The standard form of the equation is 3x+5y=2 and A=3,鈥�鈥�B=5,鈥�鈥�C=2.

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.

3x=2-5y

To convert it into standard form, add 5yon both sides of equation.

3x+5y=2鈭�5y+5y3x+5y=2

Thus, the standard form of the equation is 3x+5y=2.

03

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

Comparing 3x+5y=2with standard form Ax+By=C, we get

A=3B=5C=2

Hence, the standard form of the equation is 3x+5y=2and A=3,鈥�鈥�B=5,鈥�鈥�C=2.

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