94.4k views
0 votes
Graph the equation 3x+2y+z=6

User Frement
by
5.6k points

2 Answers

3 votes
Turn 3x+2y+z=6 to z= -3x - 2y + 6 and then create a table for x and y and start inserting numbers in the table for x and y and then insert the numbers where x and y is located in z= -3x - 2y + 6 to solve for z
Graph the equation 3x+2y+z=6-example-1
User Joncarlo
by
5.2k points
1 vote

Answer with explanation:

The given equation of plane in three dimension is :

3 x +2 y +z=6

Writing it in slope Intercept form


\rightarrow (3x)/(6)+(2 y)/(6)+(z)/(6)=1\\\\\rightarrow (x)/(2)+(y)/(3)+(z)/(6)=1

The plane will cut , X axis at (2,0,0), Y axis at (0,3,0) and Z axis at (0,0,6).

Graph the equation 3x+2y+z=6-example-1
User Globetrotter
by
5.0k points