Writing Systems of Equations

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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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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 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.

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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 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 do you represent a word problem as a system of equations?

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Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the same situation.

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What is the perimeter of a rectangle formula?

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How do you express the relationship between length and width in a rectangle?

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What is the total value equation for coins?

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How do you set up equations for a total number of items?

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