(x*5)+(y*3)+((x+y)z)=1

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Solution for (x*5)+(y*3)+((x+y)z)=1 equation:


Simplifying
(x * 5) + (y * 3) + ((x + y) * z) = 1

Reorder the terms for easier multiplication:
(5x) + (y * 3) + ((x + y) * z) = 1

Reorder the terms for easier multiplication:
(5x) + (3y) + ((x + y) * z) = 1

Reorder the terms for easier multiplication:
(5x) + (3y) + (z(x + y)) = 1
(5x) + (3y) + ((x * z + y * z)) = 1
(5x) + (3y) + ((xz + yz)) = 1
(5x) + (3y) + (xz + yz) = 1

Remove parenthesis around (xz + yz)
(5x) + (3y) + xz + yz = 1

Reorder the terms:
(5x) + xz + (3y) + yz = 1

Solving
(5x) + xz + (3y) + yz = 1

Solving for variable 'x'.

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

Add '(-3y)' to each side of the equation.
(5x) + xz + (3y) + (-3y) + yz = 1 + (-3y)

Combine like terms: (3y) + (-3y) = 0
(5x) + xz + 0 + yz = 1 + (-3y)
(5x) + xz + yz = 1 + (-3y)

Add '-1yz' to each side of the equation.
(5x) + xz + yz + -1yz = 1 + (-3y) + -1yz

Combine like terms: yz + -1yz = 0
(5x) + xz + 0 = 1 + (-3y) + -1yz
(5x) + xz = 1 + (-3y) + -1yz

Reorder the terms:
-1 + (5x) + xz + (3y) + yz = 1 + (-3y) + -1yz + -1 + (3y) + yz

Reorder the terms:
-1 + (5x) + xz + (3y) + yz = 1 + -1 + (-3y) + (3y) + -1yz + yz

Combine like terms: 1 + -1 = 0
-1 + (5x) + xz + (3y) + yz = 0 + (-3y) + (3y) + -1yz + yz
-1 + (5x) + xz + (3y) + yz = (-3y) + (3y) + -1yz + yz

Combine like terms: (-3y) + (3y) = 0
-1 + (5x) + xz + (3y) + yz = 0 + -1yz + yz
-1 + (5x) + xz + (3y) + yz = -1yz + yz

Combine like terms: -1yz + yz = 0
-1 + (5x) + xz + (3y) + yz = 0

The solution to this equation could not be determined.

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