Question

Реши систему уравнений: {2x−y=18x−2,5y=3 {x= y= ? помогите плиз за 20 баллов Смотреть ответ viktoria1448 viktoria1448 Ответ: (10,5; 3)Удачи♥️♥️♥️

Answer 1

Solving the System of Equations

To solve the system of equations:

{2x - y = 18 8x - 2.5y = 3

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

1. Solve the first equation for x: 2x - y = 18 2x = y + 18 x = (y + 18)/2

2. Substitute the value of x in the second equation: 8x - 2.5y = 3 8((y + 18)/2) - 2.5y = 3 4(y + 18) - 2.5y = 3 4y + 72 - 2.5y = 3 1.5y + 72 = 3 1.5y = 3 - 72 1.5y = -69 y = -69/1.5 y = -46

3. Substitute the value of y back into the first equation to find x: x = (y + 18)/2 x = (-46 + 18)/2 x = -28/2 x = -14

Therefore, the solution to the system of equations is x = -14 and y = -46.