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2 Μαΐ 2022 · Recall that a dependent system of equations in two variables is a system in which the two equations represent the same line. Dependent systems have an infinite number of solutions because all of the points on one line are also on the other line.
Recall that a dependent system of equations in two variables is a system in which the two equations represent the same line. Dependent systems have an infinite number of solutions because all of the points on one line are also on the other line.
21 Νοε 2023 · A dependent system of linear equations is a set of equations that has an infinite number of solutions. The equations in that system represent the same line when plotted on a...
Describe how a dependent system of equations can arise and the implications for solving such a system. A dependent system of equations can arise when the equations in the system are linearly dependent, meaning one equation can be expressed as a linear combination of the other equations.
Recall that a dependent system of equations in two variables is a system in which the two equations represent the same line. Dependent systems have an infinite number of solutions because all of the points on one line are also on the other line.
A consistent system is considered to be a dependent system if the equations have the same slope and the same y -intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.
Definition. A dependent system is a system of linear equations in which all equations represent the same line, resulting in infinitely many solutions. This occurs when the equations are scalar multiples of one another.
