Resolver {l}{60x/100+50y/100=30/100(x+y+z)}{20x/100x+frac{60}{100}y+frac{60}{100}=frac{1}{2}(x+y+z)}{y=x+100}

$$\left\{ \begin{array} { l } { \frac { 60 x } { 100 } + \frac { 50 y } { 100 } = \frac { 30 } { 100 } ( x + y + z ) } \\ { \frac { 20 x } { 100 } x + \frac { 60 } { 100 } y + \frac { 60 } { 100 } = \frac { 1 } { 2 } ( x + y + z ) } \\ { y = x + 100 } \end{array} \right.$$

Resolver x, y, z

$$x=\frac{37-\sqrt{17737}}{12}\approx -8.015027406\text{, }y=\frac{1237-\sqrt{17737}}{12}\approx 91.984972594\text{, }z=\frac{2585-5\sqrt{17737}}{36}\approx 53.308287656$$

$$x=\frac{\sqrt{17737}+37}{12}\approx 14.181694073\text{, }y=\frac{\sqrt{17737}+1237}{12}\approx 114.181694073\text{, }z=\frac{5\sqrt{17737}+2585}{36}\approx 90.302823455$$