Question

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​

Answer 1

`{\qquad\qquad\huge\underline{{\sf Answer}}}`

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`