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What does it mean if the lines on a graph for a system of three equations are coincident?Question 5Answera.The system has infinitely many solutionsb.The system has a unique solutionc.The system is inconsistentd.The system cannot be determined from the graph

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What does it mean if the lines on a graph for a system of three equations are coincident?Question 5Answera.The system has infinitely many solutionsb.The system has a unique solutionc.The system is inconsistentd.The system cannot be determined from the graph

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Solution

If the lines on a graph for a system of three equations are coincident, it means that the three equations represent the same line. In other words, all three equations have the same solution set. Therefore, the correct answer is a. The system has infinitely many solutions. This is because any point on the line is a solution to all three equations.

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Identify the type of system of equations and select the most correct meaning below.2𝑥−5𝑦=66𝑥−15𝑦=30    Group of answer choicesAn independent system; the lines will cross in only one place so there is only one solution.An inconsistent system; there is really only one line so any of the infinite number of points on that line is a solution.An inconsistent system; the parallel lines will never cross so there is no solution.A dependent system; there is really only one line so any of the infinite number of points on that line is a solution.A dependent system; the parallel lines will never cross so there is no solution.

The two lines graphed below are not parallel. How many solutions are there to the system of equations?A.OneB.TwoC.Infinitely manyD.Zero

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