Question

Решите систему уравнений : x+y=5 3x-2y=3 срочнооо)

Answer 1

Y=5-x. 3x-2(5-x)=3, 3x-10+2x=3, 5x=13. x=13/5=2,6 ; y=5-2,6=2,4 .Ответ: (2,6: 2,4).

Answer 2

Находим из 1-го уравнения x
получается x=5-y
подставляем во второе уравнение вместо x
3(5-y)-2y=3
раскрываем скобки
15-3y-2y=3
переносим без x влево с x вправо
-5y=-12
y=-12/-5
y=2,4
x=5-2,4=2.6
Ответ: x=2,6; y=2,4

Answer 3

Solving the System of Equations

To solve the system of equations x + y = 5 and 3x - 2y = 3, we can use the substitution method or the elimination method. Let's use the substitution method to solve this system.

First, we solve the first equation for one variable: x = 5 - y.

Then, we substitute this value of x into the second equation: 3(5 - y) - 2y = 3.

Expanding and solving for y: 15 - 3y - 2y = 3, 15 - 5y = 3, -5y = 3 - 15, -5y = -12, y = -12 / -5, y = 12 / 5.

Now that we have the value of y, we can substitute it back into the equation x = 5 - y to find the value of x: x = 5 - (12 / 5), x = (25 / 5) - (12 / 5), x = 13 / 5.

So, the solution to the system of equations is: x = 13 / 5 and y = 12 / 5.

This is the solution to the given system of equations.

I hope this helps! If you have any other questions or need further assistance, feel free to ask.