Question

sketch the plane representing 0x +y+4z=4

Answer 1

Given:

$\to x +y+4z=4$

To find:

sketch the plane

Solution:

$\to x + y + 4z = 4$

Solve the value for the $x$:

by moving all terms through including the x to the left, and all other terms to the right.

Adding $-1y$ in every side to the equation:

$x + y + -1y + 4z = 4 + -1y$

Including the like terms:

 $y + -1y = 0 \\\\x + 0 + 4z = 4 + -1y\\\\x + 4z = 4 + -1y$

Adding the $-4z$ in every side to the equation:

$x + 4z + -4z = 4 + -1y + -4z$

Including the like terms:  

$4z + -4z = 0\\\\x + 0 = 4 + -1y + -4z\\\\x = 4 + -1y + -4z$

by solving

$x = 4 + -1y + -4z$