mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Solving Systems of Linear Equations using Substitution

Solving Systems of Linear Equations using Substitution 1.9 - Solution

arrow_back Return to Solving Systems of Linear Equations using Substitution

To check a solution for a system of equations without graphing, we need to substitute the solution into each equation. Then, we have to determine whether all of the equations in the system are true. Let's consider two examples.

Example

Suppose we are given a system and told the solution is Let's check the given solution by substituting and for and respectively.
Since both equations are true, is a solution to the system.

Example

Consider a second example now. Suppose we are told is a solution to the system. Let's see if that's correct!
Since neither equation is true, is not a correct solution to the system. Note that if only one of the equations produces a false statement, the solution is incorrect.