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Question
Draw the graph of the following linear equation in two variable : ` x / 2 - y/ 3 = 2`
Solution
We have
` x / 2 - y/ 3 = 2`
⇒ ` (3x - 2y) /6 = 2`
⇒ ` 3x - 2y - 12`
⇒ `3x = 12 + 2y`
⇒ `x + (12 + 2y )/3`
putting y = - 6 , we get `x = (12 + 2 (-6 ))/3` = 0
Putting y = - 3 , we get ` x = (12 + 2 (-3))/3` = 2
Putting y = 0 we get `x = (12 + 0 )/3 ` = 4
Thus, we get the following table giving the two points on the line represented by the
equation ` x / 2 - y/ 3 = 2`
Graph for the equation ` x / 2 - y/ 3 = 2`
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