Question

Learning Task 1. Which of the following graphs has one, non or infinite
solutions. Write you answer in your notebook.
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Answer 1

Step-by-step explanation:

Graph 1 has parallel linea that won't cross each other anywhere so it have no solution

graph 2 has a unique point of intersection of lines

it have one solution

graph 3 has infinite many solutions because there is only one line and there is neither unique point nor parallel lines

Answer 2

Given : Solution one, none or infinite

To Find :  Graph

Solution:

a₁x + b₁y + c₁y = 0

& a₂ + b₂y + c₂y = 0

Intersecting Lines has one solution.

a₁/a₂ ≠ b₁/b₂

Graph 2

Parallel lines has no solution.

a₁/a₂ = b₁/b₂ ≠ c₁/c₂

Graph 1

Same lines has infinite solution

a₁/a₂ = b₁/b₂ = c₁/c₂

or single line has infinite solution

Graph 3

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