You don't need ANY factor. To find a unique solution, or a few, you would usually need to have as many equations as you have variables.
A system of linear equations that has at least one solution is called consistent.
When formulating a system of equations, it's essential to identify key facts that can be expressed mathematically. Each fact should be succinctly summarized in a clear sentence. For each summary, you then create a corresponding equation that represents the relationship described by the fact. This structured approach ensures that all relevant information is captured in the system of equations.
At least two - otherwise you have just one equation, not a system.
A consistent system with independent equations is one in which there is at least one solution, and the equations do not overlap in their constraints, meaning that no equation can be derived from another. In such a system, the equations represent different planes (or lines in two dimensions), and they intersect at one unique point (in the case of two variables) or along a line (for three variables). This unique intersection indicates that the system has a single solution that satisfies all equations simultaneously.
A consistent system of equations is one in which there is at least one set of values for the variables that satisfies all the equations simultaneously. In graphical terms, this means that the lines or planes represented by the equations intersect at one or more points. A consistent system can be classified as either independent (with a unique solution) or dependent (with infinitely many solutions). In contrast, an inconsistent system has no solutions, meaning the equations represent parallel lines or planes that do not intersect.
Two (2)
A system of linear equations that has at least one solution is called consistent.
a linear equation
Simultaneous equations have at least two unknown variables.
A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.
At least two - otherwise you have just one equation, not a system.
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
A consistent system with independent equations is one in which there is at least one solution, and the equations do not overlap in their constraints, meaning that no equation can be derived from another. In such a system, the equations represent different planes (or lines in two dimensions), and they intersect at one unique point (in the case of two variables) or along a line (for three variables). This unique intersection indicates that the system has a single solution that satisfies all equations simultaneously.
putang ina nyu
A consistent system of equations is one in which there is at least one set of values for the variables that satisfies all the equations simultaneously. In graphical terms, this means that the lines or planes represented by the equations intersect at one or more points. A consistent system can be classified as either independent (with a unique solution) or dependent (with infinitely many solutions). In contrast, an inconsistent system has no solutions, meaning the equations represent parallel lines or planes that do not intersect.
No. At least, it can't have EXACTLY 3 solutions, if that's what you mean. A system of two linear equations in two variables can have:No solutionOne solutionAn infinite number of solutions
M. M Hafez has written: 'A modified least squares formulation for a system of first-order equations' -- subject(s): Least squares