Solve for x_1, x_3, x_2
x_{1}=0
x_{3}=0
x_{2}=0
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x_{1}=x_{3}
Solve x_{1}-x_{3}=0 for x_{1}.
3x_{3}+x_{2}+x_{3}=0 -x_{3}+x_{2}+2x_{3}=0
Substitute x_{3} for x_{1} in the second and third equation.
x_{3}=-\frac{1}{4}x_{2} x_{2}=-x_{3}
Solve these equations for x_{3} and x_{2} respectively.
x_{2}=-\left(-\frac{1}{4}\right)x_{2}
Substitute -\frac{1}{4}x_{2} for x_{3} in the equation x_{2}=-x_{3}.
x_{2}=0
Solve x_{2}=-\left(-\frac{1}{4}\right)x_{2} for x_{2}.
x_{3}=-\frac{1}{4}\times 0
Substitute 0 for x_{2} in the equation x_{3}=-\frac{1}{4}x_{2}.
x_{3}=0
Calculate x_{3} from x_{3}=-\frac{1}{4}\times 0.
x_{1}=0
Substitute 0 for x_{3} in the equation x_{1}=x_{3}.
x_{1}=0 x_{3}=0 x_{2}=0
The system is now solved.
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