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Solving Systems with Substitution Example
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Solving Systems with Substitution Example

The substitution method can be used when one of the equations in a system has been solved for one of its variables. An example demonstrates.

Both Equations in a System Contain the Same Variable
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Both Equations in a System Contain the Same Variable

Solving a system of equations using the substitution method when both equations contain the same variable.

Solving Systems with Substitution
03:03

Solving Systems with Substitution

An introduction to using the algebraic method of substitution to solve a system of equations in which one of the equations is not in slope-intercept form.

When the Elimination Method is Easiest
01:03

When the Elimination Method is Easiest

How to decide whether substitution or elimination is the better method for solving a system of equations when both equations are in the same form and neither has been solved for a variable.

Deciding Between Substitution and Elimination
01:37

Deciding Between Substitution and Elimination

How to decide whether substitution or elimination is the better method for solving a system of equations in which one equation has been solved for a variable.

Using Elimination Twice to Solve a System
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Using Elimination Twice to Solve a System

To avoid working with fractions or other awkward numbers, it is sometimes preferable to eliminate twice instead of eliminating and then substituting.

A System with No Solution and a System with Infinite Solutions
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A System with No Solution and a System with Infinite Solutions

Presented is a system of equations to which there is no solution the lines are parallel and a system of equations to which the solution is coincident lines the two equations share the same, infinite number of solutions.

When Elimination and Substitution are Equally Convenient
01:05

When Elimination and Substitution are Equally Convenient

When a system of equations gives no clear direction toward either the substitution method or the elimination method, use the one you prefer.