PERT Practice Test 2025 – Comprehensive Study Guide for Postsecondary Education Readiness Success!

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What method can be used to solve a system of equations graphically?

Finding intercepts

Using the method of finding intercepts is a graphical approach to solving a system of equations. This method involves determining where each equation crosses the axes, specifically the x-intercept (where the line crosses the x-axis, meaning y = 0) and the y-intercept (where the line crosses the y-axis, meaning x = 0). Once both equations are plotted on the same graph, the point at which the lines intersect represents the solution to the system of equations. This graphical intersection indicates the values of both variables that satisfy all equations simultaneously.

In contrast, substitution involves solving one equation for one variable and then substituting that expression into the other equation to find the solution, which is not a graphical method. Elimination focuses on combining equations to eliminate one variable, leading to a solution without necessarily visualizing it. Factoring pertains to expressions and not to solving systems of equations graphically. Thus, finding intercepts is uniquely positioned as the correct method for graphical solutions among the provided choices.

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Substitution

Elimination

Factoring

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