Пара чисел (6;4) является решением системы уравнений:
1)\begin{equation*}
\begin{cases}
ax + 2y = 26, &\\
4x + by = 14; &
\end{cases}
\end{equation*}
2)\begin{equation*}
\begin{cases}
5x + by = 6, &\\
ax + by = 0. &
\end{cases}
\end{equation*}
Найдите значения a и b.
x = 6, y = 4.
ax + 2y = 26
6a + 2 * 4 = 26
6a + 8 = 26
6a = 26 − 8
6a = 18
a = 18 : 6
a = 3;
4x + by = 14
4 * 6 + 4b = 14
24 + 4b = 14
4b = 14 − 24
4b = −10
b = −10 : 4
b = −2,5.
x = 6, y = 4.
5x + by = 6
5 * 6 + 4b = 6
30 + 4b = 6
4b = 6 − 30
4b = −24
b = −24 : 4
b = −6;
ax + by = 0
6a + −6 * 4 = 0
6a − 24 = 0
6a = 24
a = 24 : 6
a = 4.
Пожауйста, оцените решение
