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Ch. 5 - Systems of Equations and Inequalities
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBlitzer 8th EditionCh. 5 - Systems of Equations and InequalitiesProblema 25
Capitolo 6, Problema 25

Solve each system by the method of your choice.
{5y=x2−1x−y=1\(\begin{cases}\) 5y = x^2 - 1 \\ x - y = 1 \(\end{cases}\)

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Identify the system of equations or inequalities given in the problem. Since it mentions a piecewise function, carefully write down each piece of the function along with its domain restrictions.
For each piece of the piecewise function, set up the corresponding equation or inequality that applies within its domain. This will help you understand which part of the system to solve in each interval.
Choose a method to solve the system, such as substitution, elimination, or graphing. For piecewise functions, it is often helpful to solve each piece separately within its domain and then combine the solutions.
Solve each equation or inequality step-by-step within the specified domain. Make sure to check that your solutions satisfy the domain restrictions of each piece of the function.
After finding solutions for each piece, combine them to write the complete solution to the system. Verify your answers by substituting them back into the original piecewise function to ensure they satisfy all parts of the system.

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