Purchase Solution

Method of Substitution vs. Method of Addition or Elimination for System of Equations and Solving Determinants

Not what you're looking for?

Ask Custom Question

1. In real-world situations, what is the advantage of using the Method of Substitution to solve a system of equations rather than using the Method of Addition?

2. When solving a 3 x 3 determinant, we broke the determinant down into a sequence of 2 x 2 determinants, remembering to alternate the signs of the leading coefficients in front of these smaller determinants. By extension, how might you calculate a 4 x 4 determinant?

Purchase this Solution

Solution Summary

The method of substitution is contrasted with the method of addition (or elimination). Solving determinants using the determinants of smaller matrices is also discussed.

Solution Preview

Addition (Elimination) usually simplifies the equation manipulation and works as long as the determinant of the equation matrix is non-zero. Any good linear algebra book should have plenty of examples to work from for you. Or go to Wolfram and look at linear equations. Elimination is usually easier than substitution and more reliable. Fewer steps means less room for error
A system like
3x + 2y =10
9x + 4y = 20
is easy to solve by elimination, and requires more steps if we use substitution.

In a system, if one equation is linear and the other is quadratic, then the elimination method does not work. So we have to use the substitution method to solve the system.
For ...

Purchase this Solution

Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.