Calculus Grade 12
posted by Henry .
determine the coordinates of two points on the plane with equation 5x + 4y  3z = 6

pick any values for two of the variables, and calculate the third coordinate.
z = (65x4y)/3
so, if x=1 and y=10, z=13 and (1,10,13) is on the plane.
using similar expressions for x and y, you can pick points using x,z or y,z. 
y = 6, z = 6
5x + 4(6)  3(6) = 6
5x + 24  18 = 6
5x = 0
x = 0
so (0,6,6) is a point on the plane.
is this correct??