Question

11x- 5y = 8 2x + 4y = 26 варианты ответа ( 2; 8) ( 4; 8) ( 8; 2) ( 2; 4)

Answer 1

Ответ:

(8;2)

Пошаговое объяснение:

Там легко очень

Answer 2

To solve this system of equations for the values of x and y, you can use either the substitution method or the elimination method. I'll use the elimination method here.

The system of equations is:

1. 11x - 5y = 8
2. 2x + 4y = 26

First, you can simplify the second equation by dividing both sides by 2 to make the coefficients of y the same:

2x/2 + 4y/2 = 26/2 x + 2y = 13

Now you have the system of equations:

1. 11x - 5y = 8
2. x + 2y = 13

To eliminate one of the variables, you can multiply the second equation by 5 to make the coefficients of y in both equations equal:

5(x + 2y) = 5(13) 5x + 10y = 65

Now the system of equations is:

1. 11x - 5y = 8
2. 5x + 10y = 65

Next, add the two equations together to eliminate y:

(11x - 5y) + (5x + 10y) = 8 + 65

Now, simplify the left side:

11x + 5x + (-5y + 10y) = 73

Combine like terms:

16x + 5y = 73

Now you have the system:

4. 16x + 5y = 73

You can now solve this system by using the new equation (equation 4) and the original equation 1:

4. 16x + 5y = 73
5. 11x - 5y = 8

Add the two equations together:

(16x + 5y) + (11x - 5y) = 73 + 8

Now, simplify the left side:

27x = 81

Divide both sides by 27 to solve for x:

x = 81 / 27 x = 3

Now that you have found the value of x, you can substitute it back into one of the original equations to solve for y. Let's use equation 2:

2x + 4y = 26 2(3) + 4y = 26 6 + 4y = 26

Subtract 6 from both sides:

4y = 26 - 6 4y = 20

Now, divide both sides by 4 to solve for y:

y = 20 / 4 y = 5

So, the solution to the system of equations is (x, y) = (3, 5).

Checking the answer using the original equations:

1. 11x - 5y = 8 11(3) - 5(5) = 33 - 25 = 8 (Matches the right side of the equation)

2. 2x + 4y = 26 2(3) + 4(5) = 6 + 20 = 26 (Matches the right side of the equation)

Therefore, the solution is (3, 5), and none of the answer choices (2; 8), (4; 8), (8; 2), or (2; 4) are correct.