Solve Systems by Substitution and Elimination Review

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What is a system of equations?

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A set of two or more equations with the same variables.

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What does it mean to solve a system of equations by substitution?

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It involves solving one equation for one variable and substituting that expression into the other equation.

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What does it mean to solve a system of equations by elimination?

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It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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What is the elimination method?

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A method for solving systems of equations by removing one variable, allowing for easier solving of the remaining variable.

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What is substitution in the context of solving equations?

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Replacing a variable in one equation with an equivalent expression from another equation.

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How do you determine which variable to eliminate in a system of equations?

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Look for coefficients that can easily be made equal or opposite through multiplication.

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What is the solution to a system of equations?

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The point (x, y) where the two equations intersect on a graph.

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What does it mean if a system of equations has no solution?

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The lines represented by the equations are parallel and never intersect.

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What does it mean if a system of equations has infinitely many solutions?

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The equations represent the same line, meaning every point on the line is a solution.

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