Feb 4, 2015 · What does it mean to solve or find solutions in mathematics? Ask Question Asked 10 years, 10 months ago Modified 8 years, 8 months ago

The solution set to a system of equations is the set of all values such that each of the equations are true. In your example, the solution set of $-7x+3=-7x+2$ is empty, i.e. there are no solutions.

Jan 14, 2016 · To me this answer doesn't really tell what does it mean to solve a equation, because the meaning of the verb to find is ambiguous. If someone says that the solutions of …

The OP knows this. He asks why, in the case $\det A \ne 0$, the null solution is called "non-trivial", given that it is trivial. Well, the question is non-sensical and it is rooted in the OP's …

Sep 3, 2022 · Now, what exactly does undefined mean? Because I've also noticed that most mathematicians tend to use "undefined" when interpreting a value that is approaching both …

A unique solution means it is the only solution. In your example: if $ (x_0, y_0)$ solves your equation then it is called unique iff the following statement is true ...

Jun 28, 2023 · Graphical solution means you're solving an equation by plotting lines/curves on a graph and looking for intersection points. It's graphical because you can show where on the …

In this case, analytically solving an equation means finding a solution simply by exploiting known rules: addition and subtraction, associativity, commutativity, etc. This differs from a "numerical" …

Jul 31, 2017 · What does "trivial solution" mean exactly? Must the trivial solution always be equal to the zero-solution (where all unknowns/variables are zero)?

Sep 18, 2021 · In a linear algebra book, I find the term "nontrivial solution" and can not understand what that means. Could someone please explain what this means?