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Ch. 5 - Systems and Matrices
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Lial 13th EditionCh. 5 - Systems and Matrices문제 47
6장, 문제 47

Solve each equation. ∣3x7−x4∣=8\(\left\)| \(\begin{matrix}\) 3x & 7 \\ -x & 4 \(\end{matrix}\) \(\right\)| = 8

검증된 단계별 안내
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.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.
추천 영상:
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.
추천 영상:
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.
추천 영상:
05:21
Restrictions on Rational Equations
관련 실천
교과서 질문

Let and . Find each of the following. See Examples 2 –4.

2A + 4B

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교과서 질문

Graph the solution set of each system of inequalities. x + 2y ≤ 4 y ≥ x2 - 1

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교과서 질문

Let A=[−2403]A = \(\left\)[ \(\begin{matrix}\) -2 & 4 \\ 0 & 3 \(\end{matrix}\) \(\right\)] and B=[−6240]B = \(\left\)[ \(\begin{matrix}\) -6 & 2 \\ 4 & 0 \(\end{matrix}\) \(\right\)] . Find each of the following.

-A + (1/2)B

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교과서 질문

Use the determinant theorems to evaluate each determinant.

∣68−12−10240−8∣\(\left\)| \(\begin{matrix}\) 6 & 8 & -12 \\ -1 & 0 & 2 \\ 4 & 0 & -8 \(\end{matrix}\) \(\right\)|

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교과서 질문

Graph the solution set of each system of inequalities.

y ≥ (x - 2)2 + 3

y ≤ -(x - 1)2 + 6

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교과서 질문

Solve each equation.

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