Practice Substitution Method - 3.3.1 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
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Practice Questions

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Question 1

Easy

Solve the pair of equations: x + y = 10 and x - y = 4.

πŸ’‘ Hint: Isolate x or y in one equation and substitute into the other.

Question 2

Easy

If 2x + 3y = 12 and y = x - 2, find x and y.

πŸ’‘ Hint: Substitute y into the first equation to solve for x.

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 is the first step in the substitution method?

  • Isolate a variable
  • Multiply equations
  • Combine like terms

πŸ’‘ Hint: Think about what you need to do to solve for one variable.

Question 2

True or False: The substitution method can be used for any pair of linear equations.

  • True
  • False

πŸ’‘ Hint: Consider the versatility of the substitution method.

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Challenge Problems

Push your limits with challenges.

Question 1

Two numbers differ by 6, and their product is 72. Use substitution to find both numbers.

πŸ’‘ Hint: Express one variable in terms of the other based on their difference.

Question 2

The sum of ages of three friends is 60. If one friend is twice as old as another and the third friend is 5 years older than the youngest, find their ages.

πŸ’‘ Hint: Set up equations based on given relationships and substitute accordingly.

Challenge and get performance evaluation