How do you know if a solution is "no solution" or "infinite
Nov 13, 2014 · For an answer to have an infinite solution, the two equations when you solve will equal 0=0. Here is a problem that has an infinite number of solutions. 3x+2y= 12 -6x-4y=24 If …
When does a system of equations have no solution?
Given a system of linear equations represented by the matrix equation: $\mathbf{A}\vec{x}=\vec{b}$, there is no unique set of solutions for $\det{\mathbf{A}}=0$.
What does it mean when a Linear equation has no solutions?
$\begingroup$ 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 …
For $\\det(A)=0$, how do we know if $A x = b$ has no solution or ...
There are two cases actually: If the vector b is not in the column space of the matrix A, it will have no solutions. If the b is in the column space of A, and since det(A)=0, then it will have infinitely …
algebra precalculus - Why does $\sqrt x = -a $ have no solution ...
Nov 26, 2020 · This is why when squaring an equation can sometimes lead to extraneous solutions. ... hence the equation ...
For what values of $a$ does $1/(1+1/x) = a$ have no solution for …
Oct 29, 2020 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
When does a system of linear equations have no solution?
Mar 28, 2023 · Think about every equation in the system as describing an affine subspace of the domain. If a solution exists, that vector must satisfy all the equations simultaneously, therefore …
For what value(s) of k, if any, will the system have no solution, a ...
Nov 20, 2016 · Determine whether the system has unique solution, many solutions, or has no solution. 3 For what values of k does this system of equations have a unique / infinite / no …
How does a system of linear equations have no solution?
May 7, 2018 · I tried this: To visualize this situation we can use a simple example: Consider two linear equations in x and y representing a straight line each. Solving a system involving these …
How many solutions can a system of linear equations have?
Oct 22, 2014 · With linear systems of equations, there are three possible outcomes in terms of number of solutions: One solution. Infinitely many solutions. No Solutions at all. If there is one …