Solve {l}{10.9484=10/(1+0.05)^{0.5}+10/(1+0.07)^{1}+10/(1+x)^{1.5}+110/(1+y)^{2}}{28.6155=frac{15}{(1+0.05)^0.5}+frac{15}{(1+0.07)^1}+frac{15}{(1+x)^1.5}+frac{115}{(1+y)^2}}

$$\left. \begin{array}{l}{ 10.9484 = \frac { 10 } { ( 1 + 0.05 ) ^ { 0.5 } } + \frac { 10 } { ( 1 + 0.07 ) ^ { 1 } } + \frac { 10 } { ( 1 + x ) ^ { 1.5 } } + \frac { 110 } { ( 1 + y ) ^ { 2 } } }\\{ 28.6155 = \frac { 15 } { ( 1 + 0.05 ) ^ { 0.5 } } + \frac { 15 } { ( 1 + 0.07 ) ^ { 1 } } + \frac { 15 } { ( 1 + x ) ^ { 1.5 } } + \frac { 115 } { ( 1 + y ) ^ { 2 } } }\end{array} \right.$$

Solve for x, y

$$x=\frac{5000\times 183593213718353415951614306920072681^{\frac{2}{3}}\sqrt[3]{15650031310455276000000\sqrt{105}+261090403989907191098322}}{183593213718353415951614306920072681}-1\approx -0.340418641\text{, }y=\frac{i\times 500\sqrt{243858}}{121929}-1\approx -1+2.025030162i$$

$$x=\frac{5000\times 183593213718353415951614306920072681^{\frac{2}{3}}\sqrt[3]{15650031310455276000000\sqrt{105}+261090403989907191098322}}{183593213718353415951614306920072681}-1\approx -0.340418641\text{, }y=-\frac{i\times 500\sqrt{243858}}{121929}-1\approx -1-2.025030162i$$

$$x=\frac{5000\times 183593213718353415951614306920072681^{\frac{2}{3}}\sqrt[3]{15650031310455276000000\sqrt{105}+261090403989907191098322}e^{\frac{i\times 4\pi }{3}}}{183593213718353415951614306920072681}-1\approx -1.329790679-0.571214213i\text{, }y=\frac{i\times 500\sqrt{243858}}{121929}-1\approx -1+2.025030162i$$

$$x=\frac{5000\times 183593213718353415951614306920072681^{\frac{2}{3}}\sqrt[3]{15650031310455276000000\sqrt{105}+261090403989907191098322}e^{\frac{i\times 4\pi }{3}}}{183593213718353415951614306920072681}-1\approx -1.329790679-0.571214213i\text{, }y=-\frac{i\times 500\sqrt{243858}}{121929}-1\approx -1-2.025030162i$$