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Steps of the Substitution Method
Example of the Substitution Method

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Steps of the Substitution Method

To solve a system of equations by the substitution method we will follow these steps:

1 Isolate one unknown in one of the equations

2 Substitute the expression for this unknown into the other equation, obtaining an equation with a single unknown

3 Solve the equation

4 The value obtained is substituted into the equation in which the isolated unknown appeared

5 The two values obtained constitute the solution of the system

Example of the Substitution Method

Solve the following system of equations:

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1 We isolate one of the unknowns in one of the two equations.

We choose the unknown that has the lowest coefficient

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2 We substitute into the other equation the variable x, with the previous value:

$\text{[math]}$

3 We solve the obtained equation:

$\text{[math]}$

4 We substitute the value obtained into the isolated variable:

$\text{[math]}$

5 Solution:

$\text{[math]}$

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Substitution Method

Steps of the Substitution Method

Example of the Substitution Method

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Linear Equations