New posts in Systems Of Equations

What's wrong with manipulating this algebraic equation? and why does a manipulated system of equations have a different solution than the original?

Prove that $-\sqrt{c}<ab<0$ if $a^4-2019a=b^4-2019b=c$.

Solve $\sqrt[4]{x}+\sqrt[4]{x+1}=\sqrt[4]{2x+1}$

How do I find integers $x,y,z$ such that $x+y=1-z$ and $x^3+y^3=1-z^2$?

very slow convergence of Picard method for solving nonlinear system of equations

Solve $2x^2+y^2-z=2\sqrt{4x+8y-z}-19$

How can I prove that 3 planes are arranged in a triangle-like shape without calculating their intersection lines?

Showing a system of equations has no integer solutions

How to prove this algebraic version of the sine law?

What is the most efficient way to find the inverse of large matrix?