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Overview
Grade 10 Math
Develop algebraic and graphical reasoning through the study of relations
16. Solve problems involving systems of linear equations in two variables graphically and algebraically
16.7 Solving systems of linear equations by elimination
Solving Systems by Elimination
Solve a system of linear equations by adding or subtracting the equations to eliminate one variable, then solving.
What You'll Learn
Elimination cancels one variable by adding or subtracting the equations.
Multiply an equation if needed so a variable's coefficients match.
Add or subtract to eliminate that variable, then solve what remains.
Back-substitute the value to find the other variable.
Use elimination when coefficients line up; otherwise substitution may be easier.
What You'll Practice
1
Adding or subtracting equations with matching coefficients
2
Multiplying equations to create equal coefficients before elimination
3
Simplifying equations with fractions and brackets before solving
4
Solving systems that result in fractional coordinates
Why This Matters
Mastering the elimination method gives you a powerful algebraic tool for solving systems of equations efficiently. This technique is essential in higher math courses like calculus and linear algebra, and it's widely used in fields like engineering, economics, and physics to model real-world situations with multiple constraints.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Systems of Equations
Elimination Method
Linear Equations
Algebra
Coefficients
Substitution
Coordinate Solutions
MB Curriculum Aligned