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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 9
6장, 문제 9

Solve each system by substitution.
x - 5y = 8
x = 6y

검증된 단계별 안내
1
Identify the two equations in the system: \(x - 5y = 8\) and \(x = 6y\).
Since the second equation already expresses \(x\) in terms of \(y\), substitute \(x = 6y\) into the first equation.
Replace \(x\) in the first equation with \$6y$ to get \(6y - 5y = 8\).
Simplify the equation to combine like terms: \((6y - 5y) = y\), so the equation becomes \(y = 8\).
Use the value of \(y\) found to substitute back into \(x = 6y\) to find the corresponding value of \(x\).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m
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주요 개념

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

Systems of Linear Equations

A system of linear equations consists of two or more linear equations with the same variables. The goal is to find values for the variables that satisfy all equations simultaneously. Solutions can be a single point, infinitely many points, or no solution.
추천 영상:
가이드 코스
4:27
Introduction to Systems of Linear Equations

Substitution Method

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation. This reduces the system to a single equation with one variable, making it easier to solve.
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04:03
Choosing a Method to Solve Quadratics

Solving Linear Equations

Solving linear equations means isolating the variable to find its value. This often involves operations like addition, subtraction, multiplication, or division to simplify the equation and solve for the unknown.
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Solving Linear Equations with Fractions
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Use the given row transformation to change each matrix as indicated.

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