Question

Р розв'яжіть систему рівнянь{x-6y=17,{5x+6y=13​ Смотреть ответ qwwwo qwwwo Ответ:(x,y)=(5,-2)Объяснение:

Answer 1

Solving the System of Equations

To solve the system of equations:

1. x - 6y = 17 2. 5x + 6y = 13

We can use the method of elimination or substitution. Let's use the method of elimination in this case.

Method of Elimination

To eliminate one variable, we can add the two equations together. By doing so, the y term will cancel out.

Adding equation 1 and equation 2, we get:

(x - 6y) + (5x + 6y) = 17 + 13

Simplifying the equation, we have:

6x = 30

Dividing both sides of the equation by 6, we find:

x = 5

Finding the Value of y

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y.

Using equation 1, we substitute x = 5:

5 - 6y = 17

Subtracting 5 from both sides of the equation, we get:

-6y = 12

Dividing both sides of the equation by -6, we find:

y = -2

Solution

Therefore, the solution to the system of equations is (x, y) = (5, -2).

I hope this explanation helps! Let me know if you have any further questions.