Task 1. For which values of the variables $x$ and $y$, the difference between the expressions $\frac{2 x+15}{8}$ and $1 \frac{1}{3} \cdot(y-1)$ will be 3 times smaller than the expression $2 \cdot(5-2 y)$, and the expression $\frac{x+5 \frac{3}{4}}{2}$ will be 0.125 greater than $3 y?$
Solution. From the condition of the problem, the equations are obtained

$$
\frac{2 x+15}{8}-1 \frac{1}{3} \cdot(y-1)=\frac{2 \cdot(5-2 y)}{3} \text { and } \frac{x+5 \frac{3}{4}}{2}=3 y+0.125
$$

These are equivalent to $6 x=3$ and $4 x-24 y=-22$ respectively. The solution to the last system of linear equations is $x=\frac{1}{2}, y=1$.