Consider the following system. S-3x + y = -5 5x + 2y = 23 (a) Solve the system using the substitution method. (b) Consider just the first equation -3x + y = -5. Is it possible to determine a unique solution for x and y given only one equation? O Yes O No (c) Explain the need for a system of equations. O With a second equation that represents another relationship between the same two variables, a second exact solution to the system can always be found. O With a second equation that represents another relationship between the same two variables, there is potentially just a single value for x and a single value for y that satisfy both equations. O With a second equation that represents another relationship between the same two variables, no exact solution can ever be found. O A system of equations is unnecessary, the exact solution can always be found given only one equation. O With a second equation that represents another relationship between the same two variables, many more exact solutions to the system can always be found.

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