(2m+1)x+(m+3)y+5m-1=0

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Solution for (2m+1)x+(m+3)y+5m-1=0 equation:


Simplifying
(2m + 1) * x + (m + 3) * y + 5m + -1 = 0

Reorder the terms:
(1 + 2m) * x + (m + 3) * y + 5m + -1 = 0

Reorder the terms for easier multiplication:
x(1 + 2m) + (m + 3) * y + 5m + -1 = 0
(1 * x + 2m * x) + (m + 3) * y + 5m + -1 = 0

Reorder the terms:
(2mx + 1x) + (m + 3) * y + 5m + -1 = 0
(2mx + 1x) + (m + 3) * y + 5m + -1 = 0

Reorder the terms:
2mx + 1x + (3 + m) * y + 5m + -1 = 0

Reorder the terms for easier multiplication:
2mx + 1x + y(3 + m) + 5m + -1 = 0
2mx + 1x + (3 * y + m * y) + 5m + -1 = 0

Reorder the terms:
2mx + 1x + (my + 3y) + 5m + -1 = 0
2mx + 1x + (my + 3y) + 5m + -1 = 0

Reorder the terms:
-1 + 5m + 2mx + my + 1x + 3y = 0

Solving
-1 + 5m + 2mx + my + 1x + 3y = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 5m + 2mx + my + 1x + 1 + 3y = 0 + 1

Reorder the terms:
-1 + 1 + 5m + 2mx + my + 1x + 3y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5m + 2mx + my + 1x + 3y = 0 + 1
5m + 2mx + my + 1x + 3y = 0 + 1

Combine like terms: 0 + 1 = 1
5m + 2mx + my + 1x + 3y = 1

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

Combine like terms: 1x + -1x = 0
5m + 2mx + my + 0 + 3y = 1 + -1x
5m + 2mx + my + 3y = 1 + -1x

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

Combine like terms: 3y + -3y = 0
5m + 2mx + my + 0 = 1 + -1x + -3y
5m + 2mx + my = 1 + -1x + -3y

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

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

Combine like terms: 1 + -1 = 0
-1 + 5m + 2mx + my + x + 3y = 0 + -1x + x + -3y + 3y
-1 + 5m + 2mx + my + x + 3y = -1x + x + -3y + 3y

Combine like terms: -1x + x = 0
-1 + 5m + 2mx + my + x + 3y = 0 + -3y + 3y
-1 + 5m + 2mx + my + x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-1 + 5m + 2mx + my + x + 3y = 0

The solution to this equation could not be determined.

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