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Ch. 5 - Systems of Equations and Inequalities
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Blitzer 8th EditionCh. 5 - Systems of Equations and Inequalities문제 25
6장, 문제 25

In Exercises 19–30, solve each system by the addition method. 4x + 3y = 15 2x - 5y = 1
Exercise 25: Solve the system of equations 4x + 3y = 15 and 2x - 5y = 1 using the addition method.

검증된 단계별 안내
1
Multiply the second equation by 2 to align the coefficients of x: 2(2x - 5y) = 2(1)
This results in the equation: 4x - 10y = 2
Now, add the two equations together: (4x + 3y) + (4x - 10y) = 15 + 2
Combine like terms: 4x + 4x + 3y - 10y = 17
Simplify the equation to find the value of y: 8x - 7y = 17

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

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System of Linear Equations

A system of linear equations consists of two or more linear equations with the same variables. The solution is the set of values for the variables that satisfy all equations simultaneously. Understanding how to interpret and represent these systems is fundamental to solving them.
추천 영상:
4:27
Introduction to Systems of Linear Equations

Addition (Elimination) Method

The addition method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable. This requires manipulating the equations, often by multiplying by constants, to align coefficients for elimination.
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How to Multiply Equations in Elimination Method

Solving for Variables After Elimination

Once one variable is eliminated, the resulting single-variable equation can be solved using basic algebra. After finding this variable's value, substitute it back into one of the original equations to find the other variable, completing the solution.
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Solving Systems of Equations - Elimination
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