The equation 2y=4x−9 can be represented in standard form as −4x+2y=9.
To convert the given equation 2y=4x−9 into standard form
Ax+By=C,
where
A, B, and C are integers and A is positive, follow these steps:
Subtract 2y from both sides of the equation to get all terms on one side:
4x−2y=−9
Rearrange the equation by rearranging the terms:
−2y+4x=−9
Multiply through by -1 to make the coefficient of y positive:
2y−4x=9
Now, let's rewrite it in the standard form Ax+By=C:
−4x+2y=9
So, the equation 2y=4x−9 can be represented in standard form as −4x+2y=9.