Solving 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 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 they intersect.

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What is substitution in solving systems of equations?

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Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.

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What is elimination in solving systems of equations?

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Elimination is a method where equations are manipulated to eliminate one variable, allowing for the solution of the remaining variable.

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

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To determine if a point is a solution, substitute the x and y values into both equations. If both equations are true, the point is a solution.

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What does it mean if two lines are parallel in a system of equations?

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If two lines are parallel, it means they have the same slope and will never intersect, indicating that there is no solution to the system.

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What does it mean if two lines coincide in a system of equations?

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If two lines coincide, they lie on top of each other, meaning there are infinitely many solutions to the system.

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