Solving Systems of Linear Equations using Desmos

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What is a system of linear equations?

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A system of linear equations is a set of two or more linear equations with the same variables. The solution to the system is the point(s) where the equations intersect.

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What does it mean to solve a system of equations graphically?

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Solving a system of equations graphically involves plotting the equations on a graph and identifying the point(s) where the lines intersect, which represents the 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 to find the values of both variables.

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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 solution into both equations. If both equations are satisfied, the solution is correct.

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What is an ordered pair in the context of systems of equations?

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An ordered pair is a pair of numbers (x, y) that represents a point on the Cartesian plane, where 'x' is the value of the independent variable and 'y' is the value of the dependent variable.

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What does it mean for a system of equations to be consistent?

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A consistent system of equations has at least one solution, meaning the lines intersect at one or more points.

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What does it mean for a system of equations to be inconsistent?

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An inconsistent system of equations has no solutions, meaning the lines are parallel and do not intersect.

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What is the significance of the point of intersection in a system of equations?

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The point of intersection represents the solution to the system of equations, indicating the values of the variables that satisfy all equations in the system.

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How can Desmos be used to solve systems of equations?

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Desmos is an online graphing calculator that allows users to graph equations and visually identify the point of intersection, making it easier to solve systems of equations.