Without changing the solution and the system would become In fact, we can multiply each term in the left-hand side by − 1 3 In this instance we can see that the bottom equation is essentially just a copy of the first equation, with every term multiplied by Suppose that we instead have the system of linear equations □ and □ have only one possible value, we would say that the solution is unique. Solving this system of linear equations using any method will give □ = 2 and □ = − 1. Take, for example, the system of linear equations The most familiar case will be a system of linear equations which has a unique solution. When working with a system of linear equations, there are 3 possible categories of solution that are possible to find. In this explainer, we will learn how to find the general solution of a system of linear equations whether it has a unique solution, an infinite number of solutions, or no solution.
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