MATH101 Lecture Notes - Algebraic Equation
Document Summary
Linear equations are a form of algebraic equation that involves only linear terms. In other words, the highest power of any variable in the equation is 1. The standard form of a linear equation in two variables (x and y) is: ax + by = c where a, b, and c are constants (numbers), and x and y are variables. The goal is to solve for one of the variables in terms of the other, which involves manipulating the equation using algebraic operations like addition, subtraction, multiplication, and division. To solve a linear equation, you typically want to isolate one of the variables on one side of the equation. For example, in equation (1), you could solve for y: Now you have an expression for y in terms of x. You also can solve for x in terms of y, or rearrange the equation in various other ways.
