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

Types of Problems

There is one type of problem in this exercise:

  1. Solve system with substitution: This problem presents two equations one of which is already ready for substitution. The user is expected to use substitution and solve the system. The answer is provided as an x and a y-coordinate.
    Soews1

    Solve system with substitution

Strategies

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

  1. To solve by substitution, replace one instance of the variable with an equation that it is equal to.

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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