A system of equations is homogeneous if all the constant terms are zero, i.e. the right-hand side of each equation is zero. Homogeneous systems always have at least one solution, which is the trivial solution where all variables are zero.
A system of equations is homogeneous if all the constant terms are zero, i.e. the right-hand side of each equation is zero. Homogeneous systems always have at least one solution, which is the trivial solution where all variables are zero.