Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

7. Systems of Equations & Matrices

Determinants and Cramer's Rule

College Algebra

7. Systems of Equations & Matrices

Determinants and Cramer's Rule

1:38 minutes

Problem 1a

Textbook Question

What is the value of ?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Variables and Expressions

In algebra, variables represent unknown values and are often denoted by letters such as x or y. Expressions are combinations of variables, numbers, and operations (like addition or multiplication). Understanding how to manipulate these expressions is crucial for solving equations and finding specific values.

Equations

An equation is a mathematical statement that asserts the equality of two expressions, typically involving variables. Solving an equation involves finding the value of the variable that makes the equation true. This process often requires isolating the variable on one side of the equation.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order, which is essential for accurately evaluating expressions.