The form [tex]\( A x + B y = C \)[/tex] represents a linear equation in two variables, where [tex]\( A \)[/tex], [tex]\( B \)[/tex], and [tex]\( C \)[/tex] are constants, and [tex]\( x \)[/tex] and [tex]\( y \)[/tex] are variables. This specific representation of a linear equation is known as the "standard" form.
In standard form:
- [tex]\( A \)[/tex] is the coefficient of [tex]\( x \)[/tex],
- [tex]\( B \)[/tex] is the coefficient of [tex]\( y \)[/tex], and
- [tex]\( C \)[/tex] is the constant term.
Therefore, the form [tex]\( A x + B y = C \)[/tex] is called the standard form of a linear equation.
