The given system consists of equations of planes. Let's use the Substitution Method to solve this system of equations. When using this method, it is necessary to isolate a variable. In the third equation, it will be easier to isolate x.
4x-2y+5z=6 & (I) 3x+3y+8z=4 & (II) x-5y-3z=5 & (III)
With a variable isolated in one of the equations, we can substitute its equivalent expression into the remaining equations. In the final step of the simplification of these substitutions, our goal is to have yet another variable isolated.
Notice that when we substituted the value of 17z into the second equation, we got a contradiction, 1≠4. This means that there is no solution to the system of equations.
