Solve for x_2
x_{2}=\frac{-x_{1}+\sqrt{2x_{3}}+1}{5}
x_{3}\geq 0
Solve for x_1
x_{1}=-5x_{2}+\sqrt{2x_{3}}+1
x_{3}\geq 0
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5x_{2}-\sqrt{2x_{3}}=1-x_{1}
Subtract x_{1} from both sides.
5x_{2}=1-x_{1}+\sqrt{2x_{3}}
Add \sqrt{2x_{3}} to both sides.
5x_{2}=-x_{1}+\sqrt{2x_{3}}+1
The equation is in standard form.
\frac{5x_{2}}{5}=\frac{-x_{1}+\sqrt{2x_{3}}+1}{5}
Divide both sides by 5.
x_{2}=\frac{-x_{1}+\sqrt{2x_{3}}+1}{5}
Dividing by 5 undoes the multiplication by 5.
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