Question

Розв'яжіть систему рiвнянь; 1){x+y=5 {3x+y= 7] способом підставки 2) {2x+3y=7, 7x-3y=11 способом додавання.​​ Смотреть ответ Участник Знаний Участник Знаний Ответ:1) (1;4)2) (2;1)Объяснение:

Answer 1

System of Equations 1:

The given system of equations is: 1) x + y = 5 2) 3x + y = 7

To solve this system of equations using the method of substitution, we can solve one equation for one variable and substitute it into the other equation.

Let's solve equation 1) for x: x = 5 - y

Now substitute this value of x into equation 2): 3(5 - y) + y = 7 15 - 3y + y = 7 -2y = -8 y = 4

Now substitute the value of y back into equation 1) to find x: x + 4 = 5 x = 1

Therefore, the solution to the system of equations is x = 1 and y = 4.

Answer: (1, 4)

System of Equations 2:

The given system of equations is: 1) 2x + 3y = 7 2) 7x - 3y = 11

To solve this system of equations using the method of addition, we can add the two equations together in a way that eliminates one variable.

Let's add equation 1) and equation 2): (2x + 3y) + (7x - 3y