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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 17
6장, 문제 17

Solve each system by substitution.
3y = 5x + 6
x + y = 2

검증된 단계별 안내
1
Start with the given system of equations: \(3y = 5x + 6\) and \(x + y = 2\).
Solve one of the equations for one variable. For example, solve the second equation for \(y\): \(y = 2 - x\).
Substitute the expression for \(y\) from the second equation into the first equation: \(3(2 - x) = 5x + 6\).
Simplify and solve the resulting equation for \(x\): distribute the 3 and combine like terms to isolate \(x\).
Once you find the value of \(x\), substitute it back into \(y = 2 - x\) to find the corresponding value of \(y\).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m
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주요 개념

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

System of Linear Equations

A system of linear equations consists of two or more linear equations with the same set of variables. The goal is to find values for the variables that satisfy all equations simultaneously. In this problem, the system involves two equations with variables x and y.
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가이드 코스
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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. After finding one variable, substitute back to find the other.
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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, division, and simplifying expressions. Accurate manipulation is essential to correctly solve for variables in the system.
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Solving Linear Equations with Fractions
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