Answer
$(3,1,5)$
Work Step by Step
Use the addition method for the first two equations.
$2x-4y+3z=17$
$2x+4y-2z=0$
$4x+z=17$
Use the addition method for the last two equations.
$x+2y-z=0$
$8x-2y-2z=12$
$9x-3z=12$
Solve x and z with the two variable equations.
$12x+3z=51$
$9x-3z=12$
$21x=63$
$x=3$
$4(3)+z=17$
$12+z=17$
$z=5$
To find y, substitute values for x and z.
$(3)+2y-(5)=0$
$2y-2=0$
$2y=2$
$y=1$
