23 Algebra Chapter 6 Review

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.

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How do you represent a solution to a system of equations?

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A solution is represented as an ordered pair (x,y). If there is no solution, it is denoted as NS, and if there are infinite solutions, it is denoted as IS.

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What does the equation x=2 represent graphically?

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The equation x=2 represents a vertical line on the graph that intersects the x-axis at the point (2,0).

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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 remaining variable.

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How do you solve the system of equations by graphing?

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To solve by graphing, plot both equations on the same graph and identify the point where they intersect, which represents the solution.

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

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A system has no solution if 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 infinite solutions?

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A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.

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

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