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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

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What does it mean to solve a system of equations?

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To solve a system of equations means to find the values of the variables that make all equations in the system true.

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What is the graphical representation of a system of equations?

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The graphical representation of a system of equations is the point(s) where the graphs of the equations intersect. Each intersection point represents a solution to the system.

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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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 remaining variable.

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What is a consistent system of equations?

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A consistent system of equations has at least one solution. It can be either independent (one solution) or dependent (infinitely many solutions).

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What is an inconsistent system of equations?

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An inconsistent system of equations has no solution. This occurs when the equations represent parallel lines that never intersect.

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How do you represent a system of equations algebraically?

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

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If a system of equations has infinitely many solutions, it means that the equations represent the same line, and any point on that line is a solution.