Final answer:
The standard form of a problem in mathematics refers to a specific way of representing equations: Ax + By = C. The coefficients must be integers, A must be positive, and there should be no fractions or decimals. It is mainly used for solving systems of linear equations and graphing equations.
Step-by-step explanation:
The standard form of a problem in mathematics refers to a specific way of representing equations. In standard form, an equation is written as Ax + By = C, where A, B, and C are constants and x and y are variables. The coefficients A and B must be integers, and A must be positive. Additionally, the equation should not have any fractions or decimals.
For example, the equation 3x + 2y = 7 is in standard form because it follows the format Ax + By = C. On the other hand, the equation 0.5x + 4y = 10 is not in standard form because it includes a fraction. To convert an equation to standard form, you can multiply through by a common denominator to eliminate fractions or decimals.
It's important to note that standard form is mainly used for solving systems of linear equations and graphing equations. It provides a standardized format for representing equations, making it easier to compare and manipulate them.