Name: Elimination Method Questions: Worksheet And Solutions
Brand: Superprof
SKU: SP-RB-00015126
Rating: 4.03 (60 reviews)

Chapters

A Review of the Elimination Method in Algebra
Elimination Method Class 10 Extra Questions

In this worksheet, you'll practise solving systems of linear equations using the elimination method, one of the key techniques for solving simultaneous equations.

What Is The Elimination Method?

The elimination method involves combining two equations in a system in a way that eliminates one of the variables, usually by adding or subtracting the equations. This allows you to solve for the remaining variable and then substitute it back to find the other.

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A Review of the Elimination Method in Algebra

Suppose you have the following system of equations:

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You can eliminate the ( x ) variable by subtracting Equation 2 from Equation 1:

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Now substitute ( y = 3 ) back into one of the original equations:

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So, the solution is ( x = 3.5 ), ( y = 3 ).

Elimination Method Class 10 Extra Questions

Now it’s your turn! Use the elimination method to solve the systems on this worksheet. Make sure to check your answers by substituting your solutions back into the original equations.

Score:

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Solution

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Adding both equations:

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Plugging the value of y in any of the equation above:

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Solution

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Adding both equations:

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Plugging the value of x:

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Solution

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Subtracting equation 3 from equation 1:

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Plugging the value of y in the first equation:

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Solution

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Adding both equations:

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Solution

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Solution

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Plugging the value of y in the second equation:

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Plugging the value of y in the third equation:

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Solution

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Adding both equations:

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Plugging the value of y in the first equation:

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Solution

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Adding both equations:

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Abhishek Mittal

December 2025

Hi , I m Abhishek Mittal , a passionate maths assistant professor, having experience more than 10 years with almost all top brands (Cuemath, Byjus, FIITJEE, Allen) online and offline and in-person .
Want to join Superprof , Kindly guide me.

Vanessa

December 2025

Hi Abhishek, thanks so much for reaching out! With your experience, you’d be a fantastic fit for Superprof.
Joining is simple:

1. Visit the Superprof website and click “Become a tutor”.
2. Create your profile, add your teaching experience, qualifications and subjects.
3. Upload a clear photo and write a friendly, detailed description of your teaching style — this really helps students choose you.
4. Set your rates and availability, and once your profile is validated, students can start contacting you directly.

If you need help setting up or optimising your profile, feel free to write to our customer services team at hello@superprof.com — they’ll be happy to guide you!

joshua muwanguzi

November 2025

nice work

Vanessa

November 2025

Thank you! 😊 We’re glad you found the worksheet helpful. Keep up the great work with your studies!

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Elimination Method Questions and Worked Answers

A Review of the Elimination Method in Algebra

Elimination Method Class 10 Extra Questions

System of Equations