Substitution Method

Definition of Substitution Method

  • Substitution method is a method of solving a system of equations wherein one of the equations is solved

for one varaible in terms of the other variables.

                                          

Solved Example on Substitution Method

Use the substitution method to solve the linear system.

Choices:

A. 

B. 

C. 

D. 

Correct answer: A

Solution:

Step 1:               [Equation 1.]  

Step 2:                  [Equation 2.]

Step 3:                  [Rearrange equation 2.]

Step 4: 5(3y + 4) + 3y = 26  [Substitute the values.]

Step 5: 18y + 20 = 26           [Group the like terms.]

Step 6: 18y = 6      [Subtracting 20 from the two sides of the equation.]

Step 7:        [Divide throughout by 18.]

Step 8:      [Substitute the values.]

Step 9: x = 5                            [Simplify.]

Step 10: The solution for the linear system is .

                       

Related Terms for Substitution Method

  • System of Equations
  • Variable
  • Equation

                                     

Additinal Links for Substitution Method