IM Unit 2 Test Review

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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 set of values that satisfy all equations simultaneously.

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

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If a system of equations has no solution, it means that the equations represent parallel lines that never intersect.

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How do you solve a system of equations using substitution?

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To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation.

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What is the graphical representation of intersecting lines?

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Intersecting lines on a graph represent a system of equations with a unique solution, where the lines cross at one point.

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What does the term 'parallel lines' mean in the context of systems of equations?

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Parallel lines are lines in a plane that never meet. In systems of equations, they indicate that there is no solution.

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The solution is (1, 5).

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How can you determine if a system of equations has infinitely many solutions?

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A system has infinitely many solutions if the equations represent the same line, meaning they are dependent.

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It represents a situation where the value of x must be at least 80, such as the minimum number of signatures needed per week.

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What is the meaning of the term 'solution' in the context of a system of equations?

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A solution is a set of values for the variables that makes all equations in the system true.