System of Linear Equations: Substitution

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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 is the point(s) where the equations intersect.

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What does substitution mean in the context of solving equations?

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Substitution is a method of solving a system of equations by solving one equation for one variable and then substituting that expression into the other equation.

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The solution is (0, 5).

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

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Substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.

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The solution is (3, -2).

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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, they have no points in common, meaning there is no solution to the system.

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The point (-3, 2) is not a solution.