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Chapter 2: Q37. (page 66)

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

56x+115y=310

Short Answer

Expert verified

The standard form of the given equation is 25x+2y=9 and the value of A, B and C are 25,2and 9 respectively.

Step by step solution

01

Step 1- Given information

A linear equation 56x+115y=310.

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,

56x+115y=310鈬�25x+2y30=310鈬�25x+2y=3脳3010鈬�25x+2y=9

The standard form of the given equation is:

25x+2y=9

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

So, A=25,B=2andC=9

Hence, the standard form of the given equation is 25x+2y=9and the value of A, B and C are localid="1647967121105" 25,2and 9respectively.

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