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

Ronnie Mendez

2 January, 04:59

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.

+5

Answers (1)

Know the Answer?

Castro · 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.