Give the geometric description of the following system of eq

Give the geometric description of the following system of equations. 5x + 3y - 5z = 5 4x + 5y - z = -5 -31x - 29y + 19z = 2 5x + 20y + 44z = 9 -2x - 9y - 20z = 2 3x + 12y + 27z = 3.

Solution

(1) Here,

the system of equations do not have any point of intersection though each equation represents a plane.

(2) Here,

the system of equations of planes intersect at the point (21, 4, -4).