Asystem of linear equations and a reduced matrix for the system are given. x + 4y + 4z = 2 3x − y = 1 x + 4y + 4z = 3 1 0 4 13 0 0 1 12 13 0 0 0 0 1 (a) use the reduced matrix to find the general solution of the system, if one exists. (if there is no solution, enter no solution. if there are infinitely many solutions, express your answers in terms of z as in example 3.) (x, y, z) = (b) if multiple solutions exist, find two specific solutions. (enter your answers as a comma-separated list of ordered triples. if there is no solution, enter no solution.) (x, y, z) =

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The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease

Jack did 3/5 of all problems on his weekend homework before sunday. on sunday he solved 1/3 of what was left and the last 4 problems. how many problems were assigned for the weekend?