solving a linear system with 2 equations, 2 unknowns is like solving for the intersection of two lines. What is a similar way to picture the solution of 3 equations, 3 unknowns?

Respuesta :

Answer:

Three planes.

Step-by-step explanation:

In 2 dimensional system we have only 2 unknowns and these 2 unknown can be solve by the intersection of two lines.

Ex:In 2-D ,equation of lines

x + 2y = 4

y-x= 8

These two lines will give point.

Similarly in 3 dimensional we have 3  unknowns and these 3 unknown can be solve by the intersection of three lines.

Ex:In 3-D,equation of planes

x+2y+Z=8

x + y+6z=12

2x+ y+z = 20