Question

Дана система двух линейных уравнений: {y+14x=2 2y−14x=4 Найди значение переменной y. Смотреть ответ aika963 aika963 Ответ:у=2Объяснение:y+14x=2 2y−14x=4у=2-14х2у=4-28х4-28х-14х=4-42х=4-4-42х=0х=0у=2-14*0у=2проверка:2+14*0=22*2-14*0=4

Answer 1

Solution to the System of Equations

To find the value of the variable y in the given system of equations:

y + 14x = 2
2y - 14x = 4

We can solve this system of equations using the method of elimination or substitution. Let's use the method of elimination.

To eliminate the variable x, we can add the two equations together. Adding the left sides and the right sides separately, we get:

(y + 14x) + (2y - 14x) = 2 + 4
3y = 6

Now, we can solve for y by dividing both sides of the equation by 3:

y = 6 / 3
y = 2

Therefore, the value of the variable y is 2.

Verification

To verify our solution, let's substitute the value of y back into the original equations:

Equation 1: y + 14x = 2
Substituting y = 2:
2 + 14x = 2
14x = 0
x = 0

Equation 2: 2y - 14x = 4
Substituting y = 2 and x = 0:
2(2) - 14(0) = 4
4 - 0 = 4
4 = 4

The values of x and y satisfy both equations, confirming that our solution is correct.

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