Question

2x + 3y = 6,3x - y =9;​

Answer 1

Ответ:

x=3, y=0

Пошаговое объяснение:

x=(6-3y):2

3(6-3y):2-y=9

(18-9y):2-y=9

9-4,5y-y=9

5,5y=0

y=0

x=3

Answer 2

To solve the system of equations:

1. 2x + 3y = 6
2. 3x - y = 9

You can use the method of substitution or elimination. Let's use the elimination method:

First, multiply equation (2) by 3 to make the coefficients of y in both equations equal:

2x + 3y = 6 9x - 3y = 27

Now, add equation (1) and the modified equation (2):

(2x + 3y) + (9x - 3y) = 6 + 27

Combine like terms:

11x = 33

Now, divide both sides by 11 to solve for x:

x = 33 / 11 x = 3

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

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

6 + 3y = 6

Subtract 6 from both sides:

3y = 0

Now, divide both sides by 3 to solve for y:

y = 0

So, the solution to the system of equations is:

x = 3 y = 0