Skip to main content
Ch. 5 - Systems and Matrices
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
Chapter 6, Problem 47

Solve each equation. 3x7x4=8\(\left\)| \(\begin{matrix}\) 3x & 7 \\ -x & 4 \(\end{matrix}\) \(\right\)| = 8

Verified step by step guidance
1
First, identify the equation you need to solve. Since the problem statement is incomplete, ensure you have the full equation before proceeding.
If the equation is of the form \(x = 8\), then the solution is straightforward: the variable equals 8.
If the equation involves an expression set equal to 8, isolate the variable by performing inverse operations such as addition, subtraction, multiplication, or division.
Use algebraic properties like the distributive property, combining like terms, or factoring if necessary to simplify the equation.
After isolating the variable, check your solution by substituting it back into the original equation to verify it satisfies the equation.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
1m
Was this helpful?

Key Concepts

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

Understanding Equations

An equation is a mathematical statement that asserts the equality of two expressions. Solving an equation involves finding the value(s) of the variable(s) that make the equation true. Recognizing the type of equation helps determine the appropriate solving method.
Recommended video:
06:00
Categorizing Linear Equations

Isolating the Variable

To solve for the variable, you need to isolate it on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division. This process simplifies the equation step-by-step until the variable's value is found.
Recommended video:
Guided course
05:28
Equations with Two Variables

Checking Solutions

After finding a solution, substitute it back into the original equation to verify that it satisfies the equation. This step ensures that no mistakes were made during solving and that the solution is valid.
Recommended video:
05:21
Restrictions on Rational Equations