se equations when answering the following questions: 5x + y + z = K x + 7y + z = K x + y + 8z = K a. Express the equations as a homogeneous linear system of three equations in four unknowns (x, y, z, and K), and show that the solution set has one arbitrary parameter. b. Find the smallest solution for which all four variables are positive integers. c. Show that the solution given in the example is included among your solutions. \f