Elimination Method No Common Coefficients

Elimination Method No Common Coefficients

Assessment

Flashcard

Mathematics

8th Grade - University

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of linear equations by eliminating one variable, allowing for the solution of the other variable.

2.

FLASHCARD QUESTION

Front

How do you eliminate a variable in the Elimination Method?

Back

To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing you to add or subtract the equations.

3.

FLASHCARD QUESTION

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables.

4.

FLASHCARD QUESTION

Front

What does it mean if a system of equations has no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.

5.

FLASHCARD QUESTION

Front

What does it mean if a system of equations has infinitely many solutions?

Back

A system of equations has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.

6.

FLASHCARD QUESTION

Front

What is a common coefficient in a system of equations?

Back

A common coefficient is a number that is the same for a variable in both equations of a system, which can simplify the elimination process.

7.

FLASHCARD QUESTION

Front

How can you solve the system: 8x - 7y = -5 and 4x - 6y = 10 using the Elimination Method?

Back

Multiply the second equation by 2 to get 8x - 12y = 20. Then subtract the first equation from this to eliminate x, leading to -5y = 25, so y = -5. Substitute y back to find x.

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