Question

Дана система двух линейных уравнений: {y+9x=2 9y−9x=4 Найди значение переменной y. Попроси больше объяснений Следить Отметить нарушение 1234567891097 29.04.2016 Войти чтобы добавить комментарий ОтветОтвет данLesben Y+9x=29y-9x=4--------------y=2-9x9(y-x)=4,y-x=4/9, x=y-4/9---------------------------------y=2-9.(y-4/9),y=2-9y+4,10y=6, y=6/10, y=3/5, y=0,6 0.0 0 оценок 0 оценок Оцени! Оцени! Спасибо0 Комментарии Отметить нарушение Войти чтобы добавить комментарий ОтветОтвет данEllenochka*поскольку надо найти только у - то всё =)

Answer 1

Solving the System of Linear Equations

To solve the system of linear equations {y + 9x = 2, 9y - 9x = 4} and find the value of the variable y, we can use the method of substitution or elimination.

First, let's solve the system using the method of substitution.

We start with the equation y + 9x = 2 and solve for y: y + 9x = 2

9y - 9x = 4

Now, we can express y in terms of x from the first equation: y = 2 - 9x

Next, we substitute the expression for y into the second equation: 9(2 - 9x) - 9x = 4

Solving for x: 18 - 81x - 9x = 4 18 - 90x = 4 -90x = 4 - 18 -90x = -14 x = -14 / -90 x = 7 / 45

Now that we have found the value of x, we can substitute it back into the expression for y: y = 2 - 9(7/45) y = 2 - 7/5 y = 10/5 - 7/5 y = 3/5

So, the value of the variable y in the given system of linear equations is y = 3/5.

This solution was derived from the method of substitution, and the steps were verified using search result snippets.