MORE Solving systems using elimination

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

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

Back

It means that the equations represent the same line, and there are countless points of intersection.

Front

Solve by elimination: 4x - 6y = -6 and -2x - 12y = -12.

Back

(0, 1)

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

When solving the system 2x + 3y = 6 and x + 2y = 5, what is the solution for y?

Back

y = 4.

Front

When solving the system 2x + 3y = 6 and x + 2y = 5, what is the solution for x?

Back

x = -3.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a system of equations?

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The graphical representation is the intersection points of the lines represented by the equations.

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What is the significance of the coefficients in a system of equations?

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Coefficients determine the slope and position of the lines in the graph.