Fill in the blank with one of the words or phrases listed below.
system of linear equations solution consistent independent
dependent inconsistent substitution addition
-Two algebraic methods for solving systems of equations are_____________ and_____________ .
A)dependent, independent
B)addition, substitution
C)substitution, solution
D)addition, solution

Question

Quizplus · Accepted Answer

The two algebraic methods for solving systems of equations are substitution and addition (also known as elimination). The terms "dependent" and "independent" are used to describe the relationship between equations in a system, and the terms "solution" and "inconsistent" describe the possible outcomes of solving a system. The two algebraic methods for solving systems of equations are addition and substitution. Dependent and independent refer to the nature of the solutions and whether a unique solution exists. Solution is not a method for solving, but rather the result of finding the values for the variables. Inconsistent refers to a system with no solution, which is not a method for solving.

Fill in the Blank with One of the Words or Phrases