# Solve thefollowing system.2x + y= 2x + y – z = 43x + 2y + z

Solve thefollowing system.2x + y= 2x + y – z = 43x + 2y + z = 0A. {(2, 1, 4)}B. {(1, 0, -3)}C. {(0, 0, -2)}D. {(3, 2, -1)}Write thepartial fraction decomposition for the following rational expression.x2– 6x +3/(x – 2)3A. 1/x – 4 – 2/(x – 2)2 –6/(x – 2)B. 1/x – 2 – 4/(x – 2)2 –5/(x – 1)3C. 1/x – 3 – 2/(x – 3)2 –5/(x – 2)D. 1/x – 2 – 2/(x – 2)2 –5/(x – 2)3Evaluatethe following expression without using a calculator.Log7√7A. 1/4B. 3/5C. 1/2D.2/7 Find the domain offollowing logarithmic function.f(x) = log5(x + 4)A. (-4, ∞)B. (-5, -∞)C. (7, -∞)D. (-9, ∞)The half-life of the radioactive element krypton-91 is 10seconds. If 16 grams of krypton-91 are initially present, how many gramsare present after 10 seconds? 20 seconds?A. 10 grams after 10seconds; 6 grams after 20 secondsB. 12 grams after 10seconds; 7 grams after 20 secondsC. 4 grams after 10 seconds;1 gram after 20 secondsD. 8 grams after 10 seconds;4 grams after 20 secondsWrite the partial fraction decomposition for the followingrational expression.x2–6x + 3/(x – 2)3A. 1/x – 4 – 2/(x – 2)2 –6/(x – 2)B. 1/x – 2 – 4/(x – 2)2 –5/(x – 1)3C. 1/x – 3 – 2/(x – 3)2 –5/(x – 2) D.1/x – 2 – 2/(x – 2)2 – 5/(x – 2)3 Solve the followingsystem.2x + y = 2x + y – z = 43x + 2y + z = 0A. {(2, 1, 4)}B. {(1, 0, -3)}C. {(0, 0, -2)}D. {(3, 2, -1)}Solve the following system by the addition method.{2x + 3y = 6{2x – 3y = 6A. {(4, 1)}B. {(5, 0)}C. {(2, 1)}D. {(3, 0)}Solve thefollowing system by the substitution method.{x + y = 4{y = 3xA. {(1, 4)}B. {(3, 3)}C. {(1, 3)}D. {(6, 1)}Solve thefollowing system.2x + 4y+ 3z = 2x + 2y – z = 04x + y – z = 6A. {(-3, 2, 6)}B. {(4, 8, -3)}C. {(3, 1, 5)}D. {(1, 4, -1)}Solveeach equation by the substitution method.x2- 4y2= -73×2+ y2= 31A. {(2, 2), (3, -2), (-1, 2), (-4,-2)}B. {(7, 2), (3, -2), (-4, 2), (-3,-1)}C. {(4, 2), (3, -2), (-5, 2), (-2,-2)}D. {(3, 2), (3, -2), (-3, 2), (-3,-2)}Performthe long division and write the partial fraction decomposition of theremainder term.x4– x2+ 2/x3- x2A. x + 3 – 2/x – 1/x2 +4x – 1B. 2x + 1 – 2/x – 2/x + 2/x + 1C. 2x + 1 – 2/x2 -2/x + 5/x – 1D. x + 1 – 2/x – 2/x2 +2/x – 1Solve the following system.x = y + 43x + 7y = -18A. {(2, -1)}B. {(1, 4)}C. {(2, -5)}D. {(1, -3)}Write the partial fraction decomposition for the followingrational expression.4/2×2- 5x– 3A. 4/6(x – 2) – 8/7(4x + 1)B. 4/7(x – 3) – 8/7(2x + 1)C. 4/7(x – 2) – 8/7(3x + 1)D. 4/6(x – 2) – 8/7(3x + 1)