Systems of Equations Applications

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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 is the point where the equations intersect.

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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 the equations true at the same time.

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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 value 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 other.

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What is a linear equation?

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What does the term 'variable' mean in mathematics?

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A variable is a symbol, usually a letter, that represents an unknown number in an equation.

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What is the meaning of 'x' and 'y' in a system of equations?

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In a system of equations, 'x' and 'y' are the variables we are trying to find the values for.

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What is a solution to a system of equations?

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A solution to a system of equations is a set of values for the variables that satisfies all equations in the system.

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How can you check if your solution to a system of equations is correct?

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You can check your solution by substituting the values back into the original equations to see if they hold true.

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What is a graph of a system of equations?

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The graph of a system of equations shows the lines of each equation, and the point where they intersect is the solution.