Solve g=e-k=x*p-k

Evaluate

{g = e - k e - k = x p - k

Substitute the given value of g into the equation e - k = x p - k

e - k = x p - k

Swap the sides of the equation

x p - k = e - k

Move the expression to the right-hand side and change its sign

x p = e - k + k

Since two opposites add up to 0,remove them form the expression

x p = e

Divide both sides

\frac{x p}{x} = \frac{e}{x}

Divide the numbers

p = \frac{e}{x}

Solution

(g, k, p, x) = (e - k, k, \frac{e}{x}, x), (k, x) \in R^{2}

Alternative Form

Infinitely many solutions

Solve the system of equations