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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(s) where the equations intersect.

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What does it mean to solve a system of equations by elimination?

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Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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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 first step in solving a system by substitution?

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Make sure at least one equation is solved for one variable.

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How do you determine if a point is a solution to a system of equations?

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Substitute the point's coordinates into both equations. If both equations are true, the point is a solution.

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What is the slope-intercept form of a linear equation?

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What is the standard form of a linear equation?

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What is the graphical method for solving systems of equations?

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The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) where they intersect.

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What is the value of the solution to the system: 4x + 4y = 4 and 3x + 4y = 10?

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The solution is (-6, 7).

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What is the total value of a bag containing 39 coins of quarters and nickels if it equals $6.35?

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