Question

(2x + y = 6 (3x - y = 4

Answer 1

Объяснение:

$2x + y + 3x - y = 6 + 4 \\ 5x = 10 \\ x = 2$

правильно ли я понял, что это система уравнений? я выполнил методом сложения

Answer 2

You have a system of two linear equations with two variables:

1. 2x + y = 6
2. 3x - y = 4

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

First, let's add the two equations together to eliminate the variable "y":

(2x + y) + (3x - y) = 6 + 4

Combine like terms:

5x = 10

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

x = 10 / 5 x = 2

Now that we have found the value of x, we can substitute it into one of the original equations to solve for y. Let's use equation (1):

2x + y = 6 2(2) + y = 6 4 + y = 6

Subtract 4 from both sides:

y = 6 - 4 y = 2

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