Solving Systems of Equations using Elimination - Concept

Concept Concept (1)

A system of equations is two or more equations that contain the same variables. Solving systems of equations by elimination is one method to find the point that is a solution to both (or all) original equations. Besides solving systems of equations by elimination, other methods of finding the solution to systems of equations include graphing, substitution and matrices.

Sample Sample Problems (7)

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Solving Systems of Equations using Elimination - Problem 1

Solve using elimination. Check your solution.

y − x = 5
-5y + x = -9
Problem 1
How to solve a system of equations using elimination when one variable's coefficients are already additive inverses.
Solving Systems of Equations using Elimination - Problem 2

Solve using elimination. Check your solution.

-2x + 7y = 11
3y − 2x = 19
Problem 2
How to solve a system of equations using elimination when neither variable's coefficients are already additive inverses and there is a fractional answer.
Solving Systems of Equations using Elimination - Problem 3

Solve using elimination. Check your solution.

4x − 3y = -13
5x + 2y = 1
Problem 3
How to solve a system of equations using elimination when neither variable's coefficients are already additive inverses.
Solving Systems of Equations using Elimination - Problem 4
Problem 4
Solving a system of equations by elimination or linear combination when the coefficients are already additive inverses
Solving Systems of Equations using Elimination - Problem 5
Problem 5
Solving a system of equations by elimination, or linear combination, when both equations need to be multiplied by a constant
Solving Systems of Equations using Elimination - Problem 6
Problem 6
Technique for getting rid of fractions in a system of equations by multiplying an equation by the least common denominator
Solving Systems of Equations using Elimination - Problem 7
Problem 7
Solving a system of equations by elimination or linear combination by multiplying one equation by a constant