Curriculum placement
Algebra 1. This describes the skill, not a learner estimate.
Why elimination keeps the same solutions
Prove that elimination preserves a linear system's solution set
Problem types
- Why elimination works
- Add a multiple of an equation
Builds on
Leads to
- Solving a linear and a nonlinear equation together · Extend the idea
Eliminating a variable from two equations works for a system with a curve, leaving one equation in the remaining variable.
- A system written as a matrix equation · See it applied
Adding multiples of one equation to another in elimination is the row operation used to solve systems with matrices.
Related skills
- Inverse of a matrix · Related idea
Elimination steps that keep a system equivalent are the row operations used to find an inverse matrix.
- Systems that model two constraints · Shared foundations
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