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Chapter 2: Q38. (page 66)

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

0.25x=0.1+0.2y

Short Answer

Expert verified

The standard form of the given equation is 5x-4y=2and the value of A, B and C are 5,-4and 2respectively.

Step by step solution

01

Step 1- Given information

A linear equation 0.25x=0.1+0.2y.

02

Step 2- Concept used

The Standard form of a linear equation is:

Ax+By=C where, A, B and C are integers whose greatest common factor is 1.

03

Step 3- To find the standard form and value of A, B and C

From given information,

0.25x=0.1+0.2y鈬�25100x=110+210y鈬�14x=110+15y鈬�14x鈭�15y=110鈬�5x鈭�4y20=110鈬�5x鈭�4y=2010鈬�5x鈭�4y=2

The standard form of the given equation is:

5x-4y=2

Now compare this equation by the equation Ax+By=C.

So, A=5,B=-4andC=2

Hence, the standard form of the given equation is 5x-4y=2and the value of A, B and C are 5,-4and 2 respectively.

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