Question

Determine if hr following equation is linear. If the equation is linear, convert it to standard form: ax+by=c

Answer 1

You have the following expression:

`(-11+y)^2-y^2=-9x+3`

In order to determine if the previous equation is linear, proceed as follow:

- expand the first factor:

`121-22y+y^2-y^2=-9x+3`

- simplify like terms and add 9x both sides:

`9x-22y+121=3`

- subtract 121 both sides:

`\begin{gathered} 9x-22y=3-121 \\ 9x-22y=-118 \end{gathered}`

Hence, the given equation is linear and the standard equation is:

9x - 22y = -118