Asked by no117

Examine the six different equations that follow. Determine which pairs of equations have one solution, no solution, and infinite solutions.
• Pick the two equations that have infinite solutions.
• Pick the two equations that have no solution.
• Pick the two equations that have one solution.

2x + 3 = 2x + 7 7x + 3 = 7x + 3 4x + 22 = 8x + 10
5x + 5 = 5x + 4 3x + 18 = 5x + 8 3(4x + 8) = 4(3x + 6)

Answers

Answered by no117
Equations with Infinite Solutions:
1. 7x + 3 = 7x + 3
2. 3(4x + 8) = 4(3x + 6)

Equations with No Solution:
1. 2x + 3 = 2x + 7
2. 3x + 18 = 5x + 8

Equations with One Solution:
1. 5x + 5 = 5x + 4
2. 4x + 22 = 8x + 10

What do you notice about equations that are in each of these categories? Use complete sentences to answer the questions that follow.
Answered by no117
What does it mean to have infinite solutions?
Answered by no117
What does it mean to have no solutions?
Answered by no117
What does it mean to have one solution?
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