Question

Решите систему уравнений способом подстановки 5а-3b=14 2a+b=10

Answer 1

Ответ:

a=4, b=2.

Объяснение:

$\left \{\begin{array}{l} 5a-3b= 14, \\ 2a+b= 10;\end{array} \right.\leftrightarrow \left \{\begin{array}{l} 5a-3(10-2a)= 14, \\ b = 10-2a; \end{array} \right.\leftrightarrow$

$\leftrightarrow \left \{\begin{array}{l} 5a-30+6a = 14, \\ b =10-2a; \end{array} \right.\leftrightarrow \left \{\begin{array}{l} 11a = 44, \\ b =10-2a; \end{array} \right.\leftrightarrow \left \{\begin{array}{l} a= 4, \\ b= 10-8 \end{array} \right.\leftrightarrow \left \{\begin{array}{l} a = 4, \\ b = 2 \end{array} \right.$