filmov
tv
What are Linear Equations? Basic Algebra Grade 7 Maths | Mathoguide
Показать описание
An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 2 = 0 has only one solution as x = -2.
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3. In this article, we are going to discuss the definition of linear equations, standard form for linear equation in one variable, two variables, three variables and their examples with complete explanation.
How to Solve Linear Equations?
By now you have got an idea of linear equations and their different forms. Now let us learn how to solve linear equations or line equations in one variable, in two variables and in three variables with examples. Solving these equations with step by step procedures are given here.
Solution of Linear Equations in One Variable
Both sides of the equation are supposed to be balanced for solving a linear equation. The equality sign denotes that the expressions on either side of the ‘equal to’ sign are equal. Since the equation is balanced, for solving it, certain mathematical operations are performed on both sides of the equation in a manner that does not affect the balance of the equation. Here is the example related to the linear equation in one variable.
#linearequations #solvelinearequations #mathoguide #maths #algebra
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3. In this article, we are going to discuss the definition of linear equations, standard form for linear equation in one variable, two variables, three variables and their examples with complete explanation.
How to Solve Linear Equations?
By now you have got an idea of linear equations and their different forms. Now let us learn how to solve linear equations or line equations in one variable, in two variables and in three variables with examples. Solving these equations with step by step procedures are given here.
Solution of Linear Equations in One Variable
Both sides of the equation are supposed to be balanced for solving a linear equation. The equality sign denotes that the expressions on either side of the ‘equal to’ sign are equal. Since the equation is balanced, for solving it, certain mathematical operations are performed on both sides of the equation in a manner that does not affect the balance of the equation. Here is the example related to the linear equation in one variable.
#linearequations #solvelinearequations #mathoguide #maths #algebra
0:13:24
0:32:05
0:02:15
0:10:46
0:11:20
0:16:49
0:06:56
0:08:59
0:00:26
0:00:18
0:19:38
0:07:35
0:11:08
0:11:23
0:11:24
0:00:17
0:13:09
0:00:57
0:05:06
0:06:23
0:00:54
0:00:41
0:00:10
0:08:21