Substitution systems

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What is a substitution system in mathematics?

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A substitution system is a method for solving systems of equations by substituting one equation into another to find the values of the variables.

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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 satisfy all equations in the system simultaneously.

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What is the first step in solving a system of equations using substitution?

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The first step is to solve one of the equations for one variable in terms of the other variable.

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How do you check if a solution is correct for a system of equations?

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Substitute the solution values back into the original equations to see if they hold true.

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What is the graphical interpretation of a system of equations?

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The graphical interpretation is where the lines representing the equations intersect, which indicates the solution to the system.

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What does it mean if two lines in a system of equations are parallel?

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If two lines are parallel, it means there is no solution to the system, as the lines never intersect.

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What is the significance of the point of intersection in a system of equations?

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The point of intersection represents the values of the variables that satisfy all equations in the system.

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