question_answer 6)

Find the values of x, y and z from the following equations: (i)   (ii)   (iii)   

Answer:

(i)       On comparing corresponding elements, we get       4 = y; 3 = z; x = 1        x = 1, y = 4 and z = 3 (ii)    =       On comparing corresponding elements, we get       x + y = 6; 5 + z = 5 and xy = 8         ?.. (i)        y = 6 ? x and z = 0       Putting y = 6 ? x in (1), we get             x(6 ? x) = 8       6x ? x2 = 8       x2 ? 6x + 8 = 0       (x ? 4) (x ? 2) = 0       x = 4, 2             x = 4             x = 2       y =- 6 ? x = 6 ? 4 = 2y = 6 ? x = 6 ? 2 = 4       z = 0                       z = 0        x = 4, y = 3, z = 0  x = 2,   y = 4, z = 0 (iii)        On comparing corresponding elements, we get       x + y + z = 9; x + z = 5 and y + z = 7        and x + 7 = 9             Also, x + y + z = 9        2 + 4 + z = 9  z = 9 ? 6 = 3        x = 2, y = 4 and z = 3.