Khan Academy Wiki

The Solving systems of linear equations with elimination 1 exercise appears under the 8th grade (U.S.) Math MissionAlgebra I Math Mission, Mathematics II Math MissionAlgebra II Math Mission and Mathematics III Math Mission. This exercise has practice with solving systems of equations that are begging for elimination.

Types of Problems[]

There is one type of problem in this exercise:

  1. Solve system with elimination: This problem presents two equations with one variable already lined up for elimination. The user is expected to use elimination and solve the system. The answer is provided as an x and a y-coordinate.
    Soewse1

    Solve system with elimination

Strategies[]

Knowledge of the elimination method of solving equations will help to perform this exercise accurately and efficiently.

  1. To solve by elimination, add (or subtract) the equations from each other to find the solutions.
  2. These problems are set up and ready to solve. No extra manipulation should be necessary in general.

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.