The solution to a system of two linear equations is x = 3 weeks; y = 9 feet
Match the description with the correct statement.How could you get exactly two or three solutions to this linear system?
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To obtain exactly two or three solutions to this linear system, the two equations must be parallel or coincide with each other.
To get exactly two solutions or three solutions to a linear system, the system must be dependent or have infinitely many solutions. When a linear system is dependent, it means that the equations are either multiples of each other or represent the same line, resulting in infinitely many solutions.
To determine if a linear system has exactly two or three solutions, you can compare the slopes and intercepts of the equations. If the slopes and intercepts are equal, the system is dependent with infinitely many solutions. If the slopes are equal but the intercepts are not, then the system is inconsistent with no solutions.
In this case, since the solution to the system of two linear equations is given as x = 3 weeks and y = 9 feet, we only have one unique solution. Therefore, this system does not fit the criteria of having exactly two or three solutions.