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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 to the system is the set of values that satisfy all equations simultaneously.

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How do you represent a system of equations graphically?

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A system of equations can be represented graphically by plotting each equation on the same coordinate plane. The point(s) where the lines intersect represent the solution(s) to the system.

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What does it mean for a system of equations to have no solution?

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A system of equations has no solution when the lines representing the equations are parallel and never intersect.

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What does it mean for a system of equations to have infinitely many solutions?

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A system of equations has infinitely many solutions when the equations represent the same line, meaning every point on the line is a solution.

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What is the substitution method for 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 for 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 remaining variable.

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

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To check if a solution is correct, substitute the values of the variables back into the original equations. If both equations are satisfied, the solution is correct.

Front

What is a linear equation?

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Front

What is the slope of a line?

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Front

What is the y-intercept of a line?

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