Solve the system of equations
5x + 3z = 1
-x + y + z = 0
3y + 2z = 5
From equation 3 y = 5/3 - 2/3 z
From equation 1 x = 1/5 - 3/5 z Substitute these values in equation 2 to solve for z
then use equation 1 with this value of z to calc x then equation 3 to calc y