Answer
$\{(-2,0,0)\}$
Work Step by Step
Need to add equations (2) and (3) to obtain:
$7x+4y=-14~~~(1) $
On multiplying Equation -(2) by (2) , and then add to equation (3) to obtain: $7x+3y=-14 ~~~~(2)$
Multiply equation (4) by -1 then add to eq-5 to obtain: $y=0$
Plug $y=0$ in equation-4 to obtain:
$7x+(4)(0)=-14 \implies x=-2$
Back substitution for $x=-2$ and $y=0$ in equation-1 to solve for $z$: $-2+0+2z=-2 \implies z=0$
Solution set: $\{(-2,0,0)\}$
