The Solving systems of two linear equations exercise appears under the 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Mathematics I Math MissionAlgebra I Math Mission, Mathematics II Math MissionAlgebra II Math Mission, Precalculus Math Mission and Mathematics III Math Mission. This exercise mixes together solving systems of equations in various forms.

Types of Problems

There is one type of problem in this exercise:

  1. Solve system by any means necessary: This problem provides a system of equations. The user is expected to find the solution using any method and provide the solution in the space provided.

    Solve system by any means necessary


Knowledge of solving systems of equations is valuable, including graphing, substitution, elimination and even matrices.

  1. Research indicates that most problems appear to be elimination centered, but this could change in the future.
  2. Calculators with the ability to use matrices and find reduce-row-echelon-form could prove invaluable on this problem for accuracy and efficiency.

Real-life Applications

  1. Applications include supply and demand lines form business and various other situations where there is information gained from different resources.
  2. Equations show up in nearly every science or business class one is ever in.
  3. Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.
  4. Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra also has countless applications in the real world.

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