Unit 5 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 in the system.

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How do you represent the total value of coins in a system of equations?

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You can represent the total value of coins by multiplying the number of each type of coin by its value and setting the sum equal to the total value.

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What is the significance of the coefficients in a system of equations?

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The coefficients represent the rate of change or the value associated with each variable in the equations.

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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 the lines intersect, which represent the solution(s).

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What is the purpose of using variables in equations?

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Variables are used to represent unknown quantities in equations, allowing us to formulate and solve problems.

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How can you check if a solution to a system of equations is correct?

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Substitute the solution values back into the original equations to see if they satisfy all equations.

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What is the meaning of the solution (5, -8) in a system of equations?

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The solution (5, -8) indicates that the value of the first variable is 5 and the value of the second variable is -8.

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What does it mean if two lines in a graph are parallel?

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If two lines are parallel, it means they have no points of intersection and therefore no solution to the system of equations.