![steps for 3 equation systems steps for 3 equation systems](http://antietamironworks.com/wp-content/uploads/curved-exterior-stair-railing-1024x682.jpg)
It also means that every point on that line is a solution to this linear system. This means that both equations represent the same line. This implies 0 = 0, which is always true – regardless of the values of x or y we choose. Now we add this modified equation to the second one:
![steps for 3 equation systems steps for 3 equation systems](https://useruploads.socratic.org/SiJFCQJzQsi1lMnEKkhq_syst.jpeg)
We begin by multiplying the first equation by 3 to get: Let’s say we want to solve the following system of linear equations: Example 1: Using Elimination To Show A Linear System Has Infinite Solutions Let’s take a look at some examples to see how this can happen. For example, after we simplify and combine like terms, we will get something like 1 = 1 or 5 = 5.
![steps for 3 equation systems steps for 3 equation systems](https://i.ytimg.com/vi/3_M1GI1erWo/maxresdefault.jpg)
When we attempt to solve a linear system with infinite solutions, we will get an equation that is always true as a result. Solving A Linear System With Infinite Solutions We’ll look at some examples of each case, starting with solving the system.
#Steps for 3 equation systems how to#
If the two equations have the same slope and the same y-intercept, then the lines are equivalent and there are infinite solutions ( you can get a refresher on how to tell when two lines are parallel in my article here).