ax+by+cz=10000

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Solution for ax+by+cz=10000 equation: 


Simplifying
ax + by + cz = 10000

Solving
ax + by + cz = 10000

Solving for variable 'a'.

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

Add '-1by' to each side of the equation.
ax + by + -1by + cz = 10000 + -1by

Combine like terms: by + -1by = 0
ax + 0 + cz = 10000 + -1by
ax + cz = 10000 + -1by

Add '-1cz' to each side of the equation.
ax + cz + -1cz = 10000 + -1by + -1cz

Combine like terms: cz + -1cz = 0
ax + 0 = 10000 + -1by + -1cz
ax = 10000 + -1by + -1cz

Divide each side by 'x'.
a = 10000x-1 + -1bx-1y + -1cx-1z

Simplifying
a = 10000x-1 + -1bx-1y + -1cx-1z

Reorder the terms:
a = -1bx-1y + -1cx-1z + 10000x-1

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