Writing Real World Systems

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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 set of values that satisfy all equations in the system.

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How do you represent the sum of two numbers in an equation?

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How do you represent the difference of two numbers in an equation?

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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 true simultaneously.

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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 other.

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

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

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What is a linear equation?

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What is the meaning of the variables in a system of equations?

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In a system of equations, variables represent unknown quantities that we are trying to find.

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What is the significance of the coefficients in a linear equation?

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Coefficients are the numerical factors that multiply the variables in an equation. They determine the slope and position of the line when graphed.