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Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b , c in each case :

i ) -2x + 3y = 6
ii) 2x = -5y​

1 Answer

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Let's solve ~

Question - 1 :


\qquad \sf  \dashrightarrow \: - 2x + 3y = 6


\qquad \sf  \dashrightarrow \: - 2x + 3y - 6


\qquad \sf  \dashrightarrow \: (- 2)x + (3)y + (- 6)

comparing it to general equation, we get :


  • \sf\dashrightarrow \: a = - 2

  • \sf\dashrightarrow \: b = 3

  • \sf\dashrightarrow \: c= - 6

Similarly,

Question - 2 :


\qquad \sf  \dashrightarrow \: 2x = - 5y


\qquad \sf  \dashrightarrow \: 2x + 5y = 0


\qquad \sf  \dashrightarrow \: (2)x + (5)y + 0 = 0

comparing it with general equation, we get :


  • \sf\dashrightarrow \: a = 2

  • \sf\dashrightarrow \: b = 5

  • \sf\dashrightarrow \: c = 0

User OscarLar
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