Linear Equations Definition

Linear Equations Definition A linear equation is an equation in which the highest exponent of the variable is 1. A linear equation can consist of a single variable or more than one variable. The standard form of a linear equation with two variables x and y is represented as, Ax + By = C, where A, B and C are real numbers but A and B are not equal to 0. In order to find the value of the variable of the equation, we should solve the equation by performing some operations. Example 1: Find the value of the variable x in the given linear equation, x + 4 = 9. Given linear equation: x + 4 = 9 In order to find the value of x, we first have to get rid of 4 on its side. This implies, subtract 4 on both sides of the equation. This gives: x + 4 4 = 9 4. So, x = 9 4 == x = 5. Therefore the value of the variable x in the given equation is 5. Example 2: Find the value of the variable b in the given linear equation, b 3 = 10. Given linear equation: b 3 = 10 In order to find the value of b, we first have to get rid of 3 on its side. This implies, add 3 on both sides of the equation. This gives: b 3 + 3 = 10 + 3. So, b = 10 + 3 == b = 13. Therefore the value of the variable b in the given equation is 13.