Question

x+y+z+1=0. ax+by+cz+d=0. a^2x+b^2y+c^2z +d^2 solve using Cramer rule
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Answer 1

Cramer's rule fails if the determinant of the coefficient array is zero, since you can't divide by zero. In this case the system of equations is either inconsistent (it has no solutions) or it has infinitely many solutions. ... Cramer's rule always succeeds if there is exactly one solution.