0
x+y=0
2x+2y=0
This homogeneous system has infinitely many non-trivial solutions.
If you are looking for exactly one non-trivial solution, no such system exists. the system may or may not have non trivial solution. if number of variables equal to number of equations and given matrix is non singular then non trivial solution does not exist
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Must solutions to systems of linear equalities satisfy both equalities?
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
If a system has an infinite number of solutions does it follow that any ordered pair is a solution?
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.
What is the solution of the system of equations y-2x 5 -5y10x 20?
Without any equality signs the given expressions can't be considered as equations.
Can you solve system of equations by graphing?
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.
Is salt a solution or a homogeneous solution?
A solution of any sort is a homogeneous mixture.
What does a solution and a homogeneous mixture have in common?
Any phase is distinct.
Homogeneous system with m equations and n unknowns how to prove it has only one solution?
row reduce the matrix in question and see if it has any free variables. if it does then it has many solution's. If not then it only has one unique solution. which is of course the trivial solution (0)
What is part of a system having uniform composition and properties?
A homogeneous system is part of a system with uniform composition and properties, where the components are evenly distributed and indistinguishable at a macroscopic level. Examples include a well-mixed solution or a single-phase alloy.
What does it mean to say that a solution is homogeneous?
A homogeneous solution is one where all components are uniformly distributed and have the same composition and properties throughout. In other words, the solution is uniform and consistent in its characteristics.
Is salt solution a homogeneous or a heterogeneous?
A salt solution is a homogeneous mixture because the salt is evenly distributed throughout the solution at a molecular level, resulting in a uniform composition.
Why is a sugar water solution a homogeneous mixture?
A sugar water solution is a homogeneous mixture because the sugar molecules are evenly distributed throughout the water molecules at the molecular level. This results in a uniform composition and the same properties throughout the solution.
Examples of a homogeneous mixture?
A glass of saltwater, a solution of sugar in water, and air are examples of homogeneous mixtures. In each case, the components are evenly distributed throughout the mixture at a molecular level, resulting in a uniform appearance and properties.
What is the difference between water and a solution?
Water is a pure substance composed of H2O molecules. A solution is a homogeneous mixture composed of a solvent (like water) and one or more solutes dissolved in the solvent. In a solution, the solvent (such as water) dissolves the solutes to create a homogeneous mixture.
Is there a program that is free and works fine without any bugs?
No nontrivial program is bug free. Freeware or Commercial.
What is the liquid part of a homogeneous mixture?
A homogeneous mixture, or solution, does not necessarily have a liquid component. The substance that does the dissolving is called the solvent, but this can be a gas as well as a liquid. The solute, that which is being dissolved, can be any state of matter.
Is molten gold a solution?
No, molten gold is not a solution. A solution is a homogeneous mixture where one substance dissolves in another. Molten gold is a liquid phase of pure gold without any other substances dissolved in it.
