br80448
br80448 br80448
  • 20-10-2021
  • Mathematics
contestada

Which graph shows a system with one solution?

Which graph shows a system with one solution class=

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jimthompson5910 jimthompson5910
  • 20-10-2021

Answer: Graph A

Explanation:

A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)

Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.

Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)

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