Question

Реши систему уравнений. {2x-y=−1 {3x+y=8 (;). Ответить! Посмотреть ответы gulnurzumagali5 gulnurzumagali5 Ответ: ......................... ekaterina7331 ekaterina7331 Ответ на фото Очень надеюсь, что помогла, если да, сделай ответ лучшим) ))) :)))

Answer 1

Solving the System of Equations

To solve the system of equations:

2x - y = -1
3x + y = 8

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

1. Multiply the first equation by 3 and the second equation by 2 to eliminate the y term:

   6x - 3y = -3
   6x + 2y = 16
   

2. Subtract the first equation from the second equation to eliminate the x term:

   (6x + 2y) - (6x - 3y) = 16 - (-3)
   6x + 2y - 6x + 3y = 16 + 3
   5y = 19
   

3. Solve for y:

   y = 19 / 5
   y = 3.8
   

4. Substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:

   2x - 3.8 = -1
   2x = -1 + 3.8
   2x = 2.8
   x = 2.8 / 2
   x = 1.4
   

Therefore, the solution to the system of equations is x = 1.4 and y = 3.8.

Please let me know if there's anything else I can help you with!