Solve systems by elimination

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What is the elimination method in solving systems of equations?

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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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How do you determine if a system of equations has no solution?

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A system has no solution if the equations represent parallel lines, meaning they have the same slope but different y-intercepts.

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

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Infinitely many solutions occur when the equations represent the same line, meaning they have the same slope and y-intercept.

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What is the first step in using the elimination method?

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The first step is to align the equations and manipulate them (by multiplying if necessary) so that the coefficients of one variable are opposites.

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(-4, 1)

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(-9, 5)

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(-7, -1)

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(-1, 2)

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(-2, 2)

Front

What is the significance of the coefficients in the elimination method?

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Coefficients determine how the equations can be manipulated to eliminate a variable; they must be adjusted to be opposites.