Вопрос
{0,4 x+0,1 y=1 -0,1 x-0,4 y=-1.
Решения
4.4
(200 Голоса)
Маргарита
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To solve the system of linear equations:
we can use the method of substitution or elimination. Here, we'll use the elimination method.First, let's multiply the first equation by 10 to eliminate the decimals:
Next, let's multiply the second equation by 10 as well:
Now we have the system:
Next, we'll multiply the second equation by 4 to align the coefficients of
:
Now we have:
Add the two equations together to eliminate
:
This simplifies to:
Solving for
:
Now substitute
back into the first equation:
Solving for
:
So the solution to the system of equations is:
Thus, the solution is \((2, 2)\).