Explain How Substitution Is Used to Solve an Equation. Can You Solve an Expression?
What is the most useful technique for solving a arrangement of equations?
Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Instructor)
The Commutation Method!
Why?
Because it is used in such topics as nonlinear systems, linear algebra, reckoner programming, and and so much more.
And the greatest affair virtually solving systems by substitution is that information technology's easy to use!
The method of substitution involves three steps:
- Solve one equation for one of the variables.
- Substitute (plug-in) this expression into the other equation and solve.
- Resubstitute the value into the original equation to find the respective variable.
Now at first glance, this may seem complicated, simply I've got some helpful tricks for keeping things direct. In fact, we're going to brand a sort of circular circuit that helps to provide organization and efficiency to our method.
Using the Substitution Method to Solve
Call back, our goal when solving any arrangement is to find the point of intersection. As we saw in our lesson titled the graphing method, we saw that some systems do not have solutions because they don't intersect, and others coincide, which provides infinitely many solutions.
So when we solve systems past substitution, we volition need to exist on the lookout for these types of scenarios. If they are parallel and don't intersect, then we are going to end up with an invalid reply, or as Purple Math calls it, a "garbage" result.
Together we volition look at xi examples of solving linear systems using the exchange method, and larn how to employ this technique for systems of 2, three and even four equations.
Substitution Method (How-To) – Video
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Source: https://calcworkshop.com/systems-equations/substitution-method/
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