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What's a Consistent Independent System of Equations?

What is the term for a system of equations with only one solution?

Summary

  1. A system of equations with one UNIQUE solution is called consistent and independent
  2. 'x' and 'y' are variables
  3. 2x-y=2 and 2x+y=6 is a system of equations
  4. Since (2,2) is a solution to the system of equations, we will get a true statement when we plug it into each equation

Notes

    1. A system of equations with one UNIQUE solution is called consistent and independent
    1. Check out the tutorials below to see some ways to solve this system!
    1. The system of equations is '2x-y=2' and '2x+y=6'
    2. 2x-y=2 becomes 2(2)-2=2, which simplifies to 2=2
    3. 2x+y=6 becomes 2(2)+2=6, which simplifies to 6=6
    1. (2,2) is the only ordered pair that will make BOTH equations true
    2. A system of equations with one UNIQUE solution is called consistent and independent