(r)x-y+1=0

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Solution for (r)x-y+1=0 equation:


Simplifying
(r) * x + -1y + 1 = 0

Multiply r * x
rx + -1y + 1 = 0

Reorder the terms:
1 + rx + -1y = 0

Solving
1 + rx + -1y = 0

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + rx + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + rx + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + rx + -1y = 0 + -1
rx + -1y = 0 + -1

Combine like terms: 0 + -1 = -1
rx + -1y = -1

Add 'y' to each side of the equation.
rx + -1y + y = -1 + y

Combine like terms: -1y + y = 0
rx + 0 = -1 + y
rx = -1 + y

Divide each side by 'x'.
r = -1x-1 + x-1y

Simplifying
r = -1x-1 + x-1y

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