Question

Which of the following is not a requirement of a standard form equation Ax+By=C? a)A ≥ 0. b)B ≥ 0. c)A and B are not both 0. d)A, B, and C are integers with a greatest common factor of 1.

Answer 1

c)A and B are not both 0

Explanation:

The Standard Form for a linear equation in two variables, x and y, is Ax + By = C. If A and B are both equal to zero, then C = 0 and that doesn't represent a linear equation because there is no variable, it just a constant equal to a number.

Answer 2

The following which is not a requirement of a standard form of equation Ax+By=C is:

b) B ≥ 0

Explanation:

We know that the standard equation of a line is given by:

`Ax+By=C`

where A,B and C are integers and A is taken to be a non-negative integer i.e. (A≥0) also the greatest common factor of A,B and C is: 1.

Also A and B can't be both zero.

Hence, the correct option is:

Option: b