7mx+(3m+1)y-1=2x-my+5

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Solution for 7mx+(3m+1)y-1=2x-my+5 equation:


Simplifying
7mx + (3m + 1) * y + -1 = 2x + -1my + 5

Reorder the terms:
7mx + (1 + 3m) * y + -1 = 2x + -1my + 5

Reorder the terms for easier multiplication:
7mx + y(1 + 3m) + -1 = 2x + -1my + 5
7mx + (1 * y + 3m * y) + -1 = 2x + -1my + 5

Reorder the terms:
7mx + (3my + 1y) + -1 = 2x + -1my + 5
7mx + (3my + 1y) + -1 = 2x + -1my + 5

Reorder the terms:
-1 + 7mx + 3my + 1y = 2x + -1my + 5

Reorder the terms:
-1 + 7mx + 3my + 1y = 5 + -1my + 2x

Solving
-1 + 7mx + 3my + 1y = 5 + -1my + 2x

Solving for variable 'm'.

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

Add 'my' to each side of the equation.
-1 + 7mx + 3my + my + 1y = 5 + -1my + my + 2x

Combine like terms: 3my + my = 4my
-1 + 7mx + 4my + 1y = 5 + -1my + my + 2x

Combine like terms: -1my + my = 0
-1 + 7mx + 4my + 1y = 5 + 0 + 2x
-1 + 7mx + 4my + 1y = 5 + 2x

Add '1' to each side of the equation.
-1 + 7mx + 4my + 1 + 1y = 5 + 1 + 2x

Reorder the terms:
-1 + 1 + 7mx + 4my + 1y = 5 + 1 + 2x

Combine like terms: -1 + 1 = 0
0 + 7mx + 4my + 1y = 5 + 1 + 2x
7mx + 4my + 1y = 5 + 1 + 2x

Combine like terms: 5 + 1 = 6
7mx + 4my + 1y = 6 + 2x

Add '-1y' to each side of the equation.
7mx + 4my + 1y + -1y = 6 + 2x + -1y

Combine like terms: 1y + -1y = 0
7mx + 4my + 0 = 6 + 2x + -1y
7mx + 4my = 6 + 2x + -1y

Reorder the terms:
-6 + 7mx + 4my + -2x + y = 6 + 2x + -1y + -6 + -2x + y

Reorder the terms:
-6 + 7mx + 4my + -2x + y = 6 + -6 + 2x + -2x + -1y + y

Combine like terms: 6 + -6 = 0
-6 + 7mx + 4my + -2x + y = 0 + 2x + -2x + -1y + y
-6 + 7mx + 4my + -2x + y = 2x + -2x + -1y + y

Combine like terms: 2x + -2x = 0
-6 + 7mx + 4my + -2x + y = 0 + -1y + y
-6 + 7mx + 4my + -2x + y = -1y + y

Combine like terms: -1y + y = 0
-6 + 7mx + 4my + -2x + y = 0

The solution to this equation could not be determined.

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