(08.01) line r is represented by the following equation: x + y = 2 which equation completes the system that is satisfied by the solution (1, 1)? 2x + y = 2 4x − 2y = 2 2x − 2y = 2 x + y = 4

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.