Question

СРОЧНО!!!!!!!!!!!!!!!!!!!! Розв’яжіть систему способом додавання {2х + 3у = 8, 5х − 3у = − 1 Смотреть ответ lizamostipan2007 lizamostipan2007 Ответ: 7×=7 ×=1 2+3y=8 3y=6 y=2 (1;2)

Answer 1

Solution to the System of Equations

To solve the system of equations using the method of addition, we will eliminate one variable by adding the two equations together. Let's solve the given system of equations:

Equation 1: 2x + 3y = 8 Equation 2: 5x - 3y = -1

To eliminate the variable "y," we will add Equation 1 and Equation 2:

(2x + 3y) + (5x - 3y) = 8 + (-1)

Simplifying the equation, we get:

7x = 7

To solve for "x," we divide both sides of the equation by 7:

7x/7 = 7/7

Simplifying further, we find:

x = 1

Now that we have the value of "x," we can substitute it back into one of the original equations to solve for "y." Let's use Equation 1:

2(1) + 3y = 8

Simplifying the equation, we get:

2 + 3y = 8

Subtracting 2 from both sides, we have:

3y = 6

To solve for "y," we divide both sides of the equation by 3:

3y/3 = 6/3

Simplifying further, we find:

y = 2

Therefore, the solution to the given system of equations is x = 1 and y = 2. The coordinates of the solution are (1, 2).

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