Why is the standard form of 11y=-2x-33, is 2x-11y+33=0?

Question

If the standard form of 7y=4x+63 is 4x-7y+63=0. Only the sign of the 7y has switched. How came all the sign switched for 11y=-2x-33 ?

Please help me 

Answer 1

The standard form of a linear equation is generally written as Ax + By = C or it can be Ax + By + C = 0.

 

The C's here would be opposites--it's just a matter of whether you desire all terms to be on one side of the equation, or not.

 

Also, generally, A is chosen to be > 0 (i.e. no leading negative sign) in the usual practice.

 

The requirement is simply that both x and y terms be on the same side of the equation.

 

This is achieved by TRANSPOSING the x term from right side to left side, and this requires changing the sign--it's equivalent to adding 2x to each side of the original equation.