Решите систему уравнений 5(p-k)=8+p-5k 4(p-2k)-50=3k

[latex]\left\{\begin{matrix} 5(p-k)=8+p-5k\\ 4(p-2k)-50=3k \end{matrix}\right.\\\\\\ \left\{\begin{matrix} 5p-5k-p+5k=8\\ 4p-8k-3k=50 \end{matrix}\right.\\\\\\\left\{\begin{matrix} 4p &= &8 \\ 4p-11k &= &50\\ \end{matrix}\right.[/latex] [latex]8-11k=50\\ -11k=42\\\\ k=-\frac{11}{42}\\\\\\ 4p=11\cdot\frac{42}{11}=50\\\\ 4p=8\\ p=2[/latex] Ответ: [latex](- \frac{42}{11};2) [/latex]