Solve each system by the elimination method. 3 x=27+2 y x-(7)/(2) y=-25

Name: Problem 30, Chapter 8: Beginning and Intermediate Algebra
Uploaded: 2020-07-13T15:46:44-08:00
Duration: 2 min
Channel: Cory Kuzinski
Description: Solve each system by the elimination method. 3 x=27+2 y x-(7)/(2) y=-25

step 1 Here are the two equations that make up my linear system. I'm going to take the green one, and I

Solve each system by the elimination method. 3 x=27+2 y ...

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Key Concepts

System of Linear Equations

A system of linear equations consists of two or more equations that share the same set of variables. Solving the system involves finding values for the variables that satisfy all the equations simultaneously.

Elimination Method

The elimination method is a technique used to solve systems of linear equations by adding or subtracting equations from one another to eliminate one of the variables. This reduction allows the system to be simplified into a single equation with one variable, which can then be solved more easily.

Clearing Fractions

Clearing fractions involves multiplying both sides of an equation by a common denominator to eliminate fractional coefficients. This process simplifies the algebraic manipulation and often helps in applying the elimination method more smoothly.

Algebraic Manipulation

Algebraic manipulation refers to the rearrangement of equations by combining like terms, isolating variables, or multiplying/dividing both sides by a number. It is a fundamental aspect of solving equations and is essential when preparing equations for elimination or substitution methods.

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