When the substitution method becomes a little difficult to apply in equations involving large numbers or fractions, we can use the elimination method to ease our calculations. Therefore, after solving the given system of equations by substitution method, we get x = -54/5 and y= 11/5.ĭifference Between Elimination and Substitution Methodīoth elimination and substitution methods are ways to solve linear equations algebraically. Let us substitute the value of y in equation (2). Step 5: Now, substitute the value of y in any of the given equations. Step 3: Substitute the obtained value of x in the equation (1). Step 2: We are solving equation (2) for x. Step 1: Simplify the first equation to get 2x + 3y + 15 = 0. Here is an example of solving system of equations by using substitution method: 2x+3(y+5)=0 and x+4y+2=0. Step 5: Now, substitute the value of the variable from Step 4 in any of the given equations to solve for the other variable.Step 4: Now, simplify the new equation obtained using arithmetic operations and solve the equation for one variable.Step 3: Substitute the obtained value of x or y in the other equation.Step 2: Solve any one of the equations for any one of the variables. You can use any variable based on the ease of calculation.Step 1: Simplify the given equation by expanding the parenthesis if needed.The steps to apply or use the substitution method to solve a system of equations are given below: Solving Systems of Equations by Substitution Method To learn each of these methods, click on the respective links given below. ☛ Note: The other three algebraic methods of solving linear equations. Let us take an example of solving two equations x-2y=8 and x+y=5 using the substitution method. In simple words, the substitution method involves substituting the value of any one of the variables from one equation into the other equation. And at last, we can put the value of y in any of the given equations to find x This process can be interchanged as well where we first solve for x and then solve for y. In this way, we can solve and find the value of the y-variable. As the name suggests, it involves finding the value of the x-variable in terms of the y-variable from the first equation and then substituting or replacing the value of the x-variable in the second equation. The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables.
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