Solving Systems of Equations-Review

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What is a system of equations?

Back

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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How do you solve a system of equations graphically?

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To solve graphically, plot each equation on the same graph and identify the point(s) where they intersect.

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

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Parallel lines never intersect, meaning there is no solution to the system of equations.

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

Back

Front

How do you find the slope between two points?

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Front

What is the significance of the y-intercept in a linear equation?

Back

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What does it mean if two lines have the same slope but different y-intercepts?

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If two lines have the same slope but different y-intercepts, they are parallel and will never intersect.

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

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Substitute the point's coordinates into each equation. If it satisfies all equations, it is a solution.

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What is the method of substitution in solving systems of equations?

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The method of substitution involves solving one equation for one variable and substituting that expression into the other equation.

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What is the elimination method in 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 other.