Leysa {l}{x+y^2+2=0}{z=x+y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x + y ^ {2} + 2 = 0 }\\ { z = x + y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Leystu fyrir x, y, z (complex solution)

$$x=b+\frac{\sqrt{-4b-7}}{2}-\frac{1}{2}\text{, }y=\frac{-\sqrt{-4b-7}+1}{2}\text{, }z=b$$

$$x=b-\frac{\sqrt{-4b-7}}{2}-\frac{1}{2}\text{, }y=\frac{\sqrt{-4b-7}+1}{2}\text{, }z=b\text{, }a=b$$

Leystu fyrir x, y, z

$$x=b+\frac{\sqrt{-4b-7}}{2}-\frac{1}{2}\text{, }y=\frac{-\sqrt{-4b-7}+1}{2}\text{, }z=b$$

$$x=b-\frac{\sqrt{-4b-7}}{2}-\frac{1}{2}\text{, }y=\frac{\sqrt{-4b-7}+1}{2}\text{, }z=b\text{, }a=b\text{ and }b\leq -\frac{7}{4}$$