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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 by substitution?

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Solving by substitution involves solving one equation for one variable and then substituting that expression into the other equation.

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What is the first step in solving a system of equations using substitution?

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The first step is to isolate one variable in one of the equations.

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The solution is (-5, 1).

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Back

The solution is (-4, 3).

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

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It means the lines represented by the equations are parallel and never intersect.

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Back

The solution is (-3, -6).

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

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It means the equations represent the same line, and every point on that line is a solution.

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The solution is (4, 1).

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How can you determine the number of solutions in a system of equations?

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By analyzing the slopes and intercepts of the lines represented by the equations.