oIt your claim. -t + 5y +3z2 32. REPEATED REASONING Using what you know about solving linear systems in two and three variables, plan a strategy for how you would solve a system that has four linear equations in four variables. 3x 2y 418 22. x 2y x +3y +2z=-4 +y-4 10 1 MATHEMATICAL CONNECTIONS In Exercises 33 and 34, write and use a linear system to answer the question. 24. x =4 33. The triangle has a perimeter of 65 feet. What are the lengths of sides 4, m, and n? 4x 3y + 2z 26 n +m 15 - m 26. 2x y = 15 4x + 5y +2z 10 t-4y +3z= -20 B. x 2y z3 2x + 4y 2z 6 34. What are the measures of angles A, B, and C x2y +z -6 A umber of left-handed enth the number of right- of right-handed people left-handed people and ned. What percent of A (5A C) (A+3) B C 35. OPEN-ENDED Consider the system of linear equations below. Choose nonzero values for a, b and c so the system satisfies the given condition. Explain your reasoning. CS Use a system of ata in the following stem to find how many x ty+z= 2 + by +cz 10 2y z 4 Saturday's track lividual-event 168 points. A ts, a second- da third-place e had a strong has no solution. a. The system b. The system has exactly one solution., C. The system has infinitely many solutions. 36. MAKING AN ARGUMENT A linear system in three variables has no solution. Your friend concludes that it is not possible for two of the three equations to have any points in common. Is your friend correct? Explain your reasoning many second third-place

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