Unizor - Algebra - General Systems of Equations - Problems 1
Channel: Zor Shekhtman on UNIZOR Education
Date: 2013-05-16

Solve the following systems of equations in the domain of real numbers.
Always establish a set of allowed values for solutions and make sure to reject the solutions you obtain that do not belong to this set.
Always, especially in case of non-invariant transformations, perform a checking to avoid extraneous solutions obtained as a result of these transformations.

p·√q − q·√p = 6
p·√p − q·√q = 19

x^2 + y = 56
y^2 + x = 56

(x+a)^(1/3) + (y+b)^(1/3) = c
x + y = d