Practice Types of Solutions - 25.2 | 25. Solutions of Linear Systems: Existence, Uniqueness, General Form | Mathematics (Civil Engineering -1)
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25.2 - Types of Solutions

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify the type of solution for the system: x + y = 1 and x + y = 3.

💡 Hint: Think about whether the lines can intersect.

Question 2

Easy

What type of solution do the equations: x+y=2 and 2x + 2y=4 represent?

💡 Hint: Look for multiples in the equations.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What kind of solution does the system x + y = 2 and x + y = 3 have?

  • Infinitely Many Solutions
  • Exactly One Solution
  • No Solution

💡 Hint: Consider the graphical representation of the lines.

Question 2

If a system has more equations than variables, what can it potentially have?

  • Exactly One Solution
  • No Solution
  • Infinitely Many Solutions

💡 Hint: Think about how overdetermined systems behave.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Analyze the following system: 3x + y = 8 and -3x - y = -9. Determine the types of solutions and justify your reasoning.

💡 Hint: Consider plotting the equations graphically.

Question 2

A classroom has students sitting in different groups. Express the scenario as equations and determine the possible setups where some groups might collapse into a single one and others stand alone. Discuss the implications of having no solution versus infinitely many solutions.

💡 Hint: Think about overlapping scenarios.

Challenge and get performance evaluation