ax+ay-az-x-y+z=

Solution for ax+ay-az-x-y+z= equation:

Simplifying
ax + ay + -1az + -1x + -1y + z = 0

Solving
ax + ay + -1az + -1x + -1y + z = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'x' to each side of the equation.
ax + ay + -1az + -1x + -1y + x + z = 0 + x

Reorder the terms:
ax + ay + -1az + -1x + x + -1y + z = 0 + x

Combine like terms: -1x + x = 0
ax + ay + -1az + 0 + -1y + z = 0 + x
ax + ay + -1az + -1y + z = 0 + x
Remove the zero:
ax + ay + -1az + -1y + z = x

Add 'y' to each side of the equation.
ax + ay + -1az + -1y + y + z = x + y

Combine like terms: -1y + y = 0
ax + ay + -1az + 0 + z = x + y
ax + ay + -1az + z = x + y

Add '-1z' to each side of the equation.
ax + ay + -1az + z + -1z = x + y + -1z

Combine like terms: z + -1z = 0
ax + ay + -1az + 0 = x + y + -1z
ax + ay + -1az = x + y + -1z

Reorder the terms:
ax + ay + -1az + -1x + -1y + z = x + -1x + y + -1y + -1z + z

Combine like terms: x + -1x = 0
ax + ay + -1az + -1x + -1y + z = 0 + y + -1y + -1z + z
ax + ay + -1az + -1x + -1y + z = y + -1y + -1z + z

Combine like terms: y + -1y = 0
ax + ay + -1az + -1x + -1y + z = 0 + -1z + z
ax + ay + -1az + -1x + -1y + z = -1z + z

Combine like terms: -1z + z = 0
ax + ay + -1az + -1x + -1y + z = 0

The solution to this equation could not be determined.