A system of equations consists of two lines. line one passes through (-1,3) and (0,1). the other line passes through (1,4) and (0,2). determine if the pair has no solution, one solution, or an infinite number of solutions.

Question

Mathematics

Karla

27 May, 17:21

A system of equations consists of two lines. line one passes through (-1,3) and (0,1). the other line passes through (1,4) and (0,2). determine if the pair has no solution, one solution, or an infinite number of solutions.

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Answers (1)

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Briana Donovan · Answer 1

The pair has one solution.

Answer: Option B.

Explanation:

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent.

If the system in two variables has one solution, it is an ordered pair that is a solution to both equations. In other words, when you plug in the values of the ordered pair it makes both equations TRUE.