Let us understand the steps of solving linear equations by elimination method. Here we make an attempt to multiply either the 'x' variable term or the 'y' variable term with a constant value such that either the 'x' variable terms or the 'y' variable terms cancel out and gives us the value of the other variable. ![]() The elimination method is another way to solve a system of linear equations. Solving Linear Equations by Elimination Method Therefore, by substitution method, the linear equations are solved, and the value of x is 2 and y is 4. Let us substitute the value of 'y' in equation (1). Step 3: Now substitute the value of 'y' in either equation (1) or (2). Substituting the value of 'x' in 2x + 4y = 20, we get, Now, let us substitute the value of 'x' in the second equation 2x + 4y = 20. Step 2: Substitute the value of the variable found in step 1 in the second linear equation. In this case, let us find the value of 'x' from equation (1). Step 1: Find the value of one of the variables using any one of the equations. Let us understand this with an example of solving the following system of linear equations. For solving linear equations using the substitution method, follow the steps mentioned below. In the two given equations, any equation can be taken and the value of a variable can be found and substituted in another equation. Now that we are left with an equation that has only one variable, we can solve it and find the value of that variable. In the substitution method, we rearrange the equation such that one of the values is substituted in the second equation. The substitution method is one of the methods of solving linear equations. ![]() ![]() Solving Linear Equations by Substitution Method To find the value of 'x', let us simplify and bring the 'x' terms to one side and the constant terms to another side. Let us work out a small example to understand this.Ĥx + 8 = 8x - 10. If there are any fractional terms then find the LCM ( Least Common Multiple) and simplify them such that the variable terms are on one side and the constant terms are on the other side. The variable 'x' has only one solution, which is calculated asįor solving linear equations with one variable, simplify the equation such that all the variable terms are brought to one side and the constant value is brought to the other side. By solving linear equations in one variable, we get only one solution for the given variable. It is of the form 'ax+b = 0', where 'a' is a non zero number and 'x' is a variable. A linear equation in one variable is an equation of degree one and has only one variable term.
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