Question

2х-3у=-143х+у=1способ сложения ​

Answer 1

Ответ:
(-1;4)

Пошаговое объяснение:
Домножаем второе уравнения на 3
2х-3у=-14
9х+3у=3
Решаем способом сложения
11х=-11
х=-1
Подставляем в первое уравнения
-2-3у=-14
-3у=-12
у=4

Answer 2

To solve the system of equations 2x - 3y = -14 and x + y = 1 using the method of addition, follow these steps:

Step 1: Multiply the second equation by 3 to make the coefficients of y in both equations opposite in sign. 3(x + y) = 3(1) 3x + 3y = 3

Step 2: Now, we have two equations: 2x - 3y = -14 3x + 3y = 3

Step 3: Add the two equations together to eliminate the y variable. (2x - 3y) + (3x + 3y) = -14 + 3 2x + 3x - 3y + 3y = -11 5x = -11

Step 4: Solve for x by dividing both sides by 5. 5x/5 = -11/5 x = -11/5

Step 5: Substitute the value of x into one of the original equations to solve for y. x + y = 1 (-11/5) + y = 1 y = 1 + 11/5 y = 5/5 + 11/5 y = 16/5

Therefore, the solution to the system of equations is x = -11/5 and y = 16/5.