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Draw the Graph of the Following Linear Equation in Two Variable : `(X-2)/3 = Y - 3` - Mathematics

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प्रश्न

Draw the graph of the following linear equation in two variable :  `(x-2)/3 = y - 3`

उत्तर

 We have 

  `(x-2)/3 = y - 3`

⇒ ` x - 2 = 3  (y -3) `

⇒ ` x - 2 = 3y - 9 `

⇒ ` x = 3y - 9 + 2` 

⇒ `x = 3y - 7`

Putting  y = 0 , we get   x - 0  = -7 ⇒ x = - 7 

Putting  y = 2 , we get  x - 3 (2) = - 7 ⇒ x =-1

Putting  y = 3  , we get  x = 3  ( 3)  - 7 ⇒ x = 2 

Thus, we get the following table giving the two points on the line represented by the
equation  `(x -2)/y ` = y - 3 

Graph for the equation   `(x -2)/y ` = y - 3 

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अध्याय 7: Linear Equations in Two Variables - Exercise 7.3

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 7 Linear Equations in Two Variables
Exercise 7.3 | Q 1.7

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