Question

Solve the following system of equations. Variables x,y,z.

7x-y+z=-22
3x+2y-3z=-27
x-3y+2z=1

Answer 1

Given 7x-y+z=-22.........(1)
3x+2y-3z=-27 …........(2)
x-3y+2z=1 …........(3)
multiply by 3 in equation (1) and add with equation (2)
=>21x-3y+3z=-66........(1)
=>3x+2y-3z=-27
..---------------------
….24x-y=-93.......(4)
multiply by 3 in equation (3) and multiply by 2 in equation (2) then add
=>6x+4y-6z=-54
=>3x-9y+6z=3
...-------------------
….9x-5y=-51.......(5)
multiply by 5 in equation (4) then subtract with equation (5)
=>120x-5y=-465
=>9x-5y=-51
….-....+....+
..----------------
111x+0= -414
=>x= -138/37
=>y=129/37
=>z=281/37


See also Parametric Equation of a Circle http://goo.gl/Va1n67