Name: Elimination Method Questions: Worksheet And Solutions
Brand: Superprof
SKU: SP-RB-00015126
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Chapters

How To Solve Systems of Equations by the Substitution Method

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1.

Work out the value of an unknown in one of the equations.

2.

Substitute the expression of this unknown in the other equation, obtaining an equation with one unknown.

3.

Solve the equation.

4.

The value obtained is substituted into the other equation.

5.

The two values obtained are the solution of the system.

Q. Find the value of unknowns using the substitutional method.

$\text{[math]}$

1

Work out the value of x.

$\text{[math]}$ $\text{[math]}$

2

Substitute into the other equation the value of x:

$\text{[math]}$

3

Solve the equation obtained:

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

4

Substitute the value obtained.

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

5

Solution:

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

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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.
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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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Substitution Method

How To Solve Systems of Equations by the Substitution Method

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System of Equations

Elimination Method

Graphing Systems of Equations