Question

{{ x = y + 1 2x + 3y = 12 ​

Answer 1

Ответ:

Из первого уравнения можно выразить y через x:

y = x - 1

Подставляем второе уравнение:

2x + 3(x-1) = 12

2x + 3x - 3 = 12

5x = 15

x = 3

Теперь находим y:

y = x - 1 = 3 - 1 = 2

Таким образом, решением системы уравнений будет x = 3 и y = 2.

Пошаговое объяснение:

Answer 2

It looks like you have a system of two linear equations with two variables, x and y. The system can be written as:

1. x = y + 1
2. 2x + 3y = 12

You can solve this system of equations using either the substitution method or the elimination method. Let's use the substitution method in this case.

First, we can solve equation (1) for x in terms of y:

1. x = y + 1

Now, we can substitute this expression for x into equation (2):

2( y + 1) + 3y = 12

Now, distribute the 2 on the left side:

2y + 2 + 3y = 12

Combine like terms:

5y + 2 = 12

Subtract 2 from both sides:

5y = 10

Now, divide both sides by 5 to solve for y:

y = 10 / 5 y = 2

Now that you have the value of y, you can substitute it back into equation (1) to find x:

x = 2 + 1 x = 3

So, the solution to the system of equations is x = 3 and y = 2.