ax+2y+4z=a+1

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Solution for ax+2y+4z=a+1 equation:


Simplifying
ax + 2y + 4z = a + 1

Reorder the terms:
ax + 2y + 4z = 1 + a

Solving
ax + 2y + 4z = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
ax + 2y + -1a + 4z = 1 + a + -1a

Reorder the terms:
-1a + ax + 2y + 4z = 1 + a + -1a

Combine like terms: a + -1a = 0
-1a + ax + 2y + 4z = 1 + 0
-1a + ax + 2y + 4z = 1

Add '-2y' to each side of the equation.
-1a + ax + 2y + -2y + 4z = 1 + -2y

Combine like terms: 2y + -2y = 0
-1a + ax + 0 + 4z = 1 + -2y
-1a + ax + 4z = 1 + -2y

Add '-4z' to each side of the equation.
-1a + ax + 4z + -4z = 1 + -2y + -4z

Combine like terms: 4z + -4z = 0
-1a + ax + 0 = 1 + -2y + -4z
-1a + ax = 1 + -2y + -4z

Reorder the terms:
-1 + -1a + ax + 2y + 4z = 1 + -2y + -4z + -1 + 2y + 4z

Reorder the terms:
-1 + -1a + ax + 2y + 4z = 1 + -1 + -2y + 2y + -4z + 4z

Combine like terms: 1 + -1 = 0
-1 + -1a + ax + 2y + 4z = 0 + -2y + 2y + -4z + 4z
-1 + -1a + ax + 2y + 4z = -2y + 2y + -4z + 4z

Combine like terms: -2y + 2y = 0
-1 + -1a + ax + 2y + 4z = 0 + -4z + 4z
-1 + -1a + ax + 2y + 4z = -4z + 4z

Combine like terms: -4z + 4z = 0
-1 + -1a + ax + 2y + 4z = 0

The solution to this equation could not be determined.

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