Помогите решить 7x+4y=22 и 8x-10y=19

[latex] \left \{ {{7x+4y=22} \atop { 8x-10y=19}} \right. [/latex] Умножаем первое уравнение на 5, а второе - на 2 [latex] \left \{ {{35x+20y=110} \atop { 16x-20y=38}} \right. [/latex] складываем уравнения [latex] \left \{ {{51x=148} \atop {16x-20y=38} \right. \left \{ {{x=\frac{148}{51}} \atop {16x-20y=38} \right.\left \{ {{x=2\frac{46}{51}} \atop {16x-20y=38} \right.[/latex] Отдельно решим 2 уравнение [latex]16(\frac{148}{51})-20y=38\\\\16(\frac{148}{51})-38=20y\\\\\frac{2368}{51}-38=20y\\\\\frac{2368}{51}-\frac{1938}{51}=20y\\\\\frac{2368-1938}{51}=20y\\\\\frac{430}{51}=20y\\\\\frac{430}{51*20}=y\\\\\frac{215}{510}=y[/latex] Вернемся в систему [latex] \left \{ {{x=2\frac {46}{51}} \atop {y=\frac{215}{510}}} \right.[/latex]