Answer
$$y=1,\:x=1$$
Work Step by Step
We solve the system of equations using substitution:
$$\frac{23}{10}\cdot \frac{8+3y}{11}+\frac{3}{10}y=\frac{13}{5}\\ y=1 \\ x=\frac{8+3\cdot \:1}{11} \\ x=1$$
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