ax+by+cd=e

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Solution for ax+by+cd=e equation:


Simplifying
ax + by + cd = e

Solving
ax + by + cd = e

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 + cd = -1by + e

Combine like terms: by + -1by = 0
ax + 0 + cd = -1by + e
ax + cd = -1by + e

Add '-1cd' to each side of the equation.
ax + cd + -1cd = -1by + -1cd + e

Combine like terms: cd + -1cd = 0
ax + 0 = -1by + -1cd + e
ax = -1by + -1cd + e

Divide each side by 'x'.
a = -1bx-1y + -1cdx-1 + ex-1

Simplifying
a = -1bx-1y + -1cdx-1 + ex-1

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