
X+2y+z=8 2x+y+z=8 3x+2y-2z=4


Ответы на вопрос

Ответ:
будет
х+9-х3
х-8+6х
х+4+6+х
х-0
Пошаговое объяснение:






You have a system of three linear equations with three variables:
- x + 2y + z = 8
- 2x + y + z = 8
- 3x + 2y - 2z = 4
You can solve this system of equations using various methods, such as substitution, elimination, or matrix methods. I'll use the elimination method to solve this system:
First, let's subtract equation (1) from equation (2) to eliminate the variable z:
(2x + y + z) - (x + 2y + z) = 8 - 8 2x + y + z - x - 2y - z = 0
This simplifies to:
x - y = 0
Now, let's add equation (2) to equation (3) to eliminate the variable z again:
(2x + y + z) + (3x + 2y - 2z) = 8 + 4 2x + y + z + 3x + 2y - 2z = 12
Combine like terms:
5x + 3y = 12
Now, you have two equations:
- x - y = 0
- 5x + 3y = 12
You can solve this system of equations simultaneously. To do that, you can solve equation (1) for x:
x = y
Now, substitute this expression for x into equation (2):
5(y) + 3y = 12
6y = 12
Divide both sides by 6:
y = 2
Now that you have found the value of y, you can find the values of x and z using the equations:
x = y = 2 x = 2
Now, let's find z. You can use any of the original equations to do this. Let's use equation (1):
x + 2y + z = 8 2 + 2(2) + z = 8 2 + 4 + z = 8
Subtract 6 from both sides:
z = 8 - 6 z = 2
So, the solution to the system of equations is:
x = 2 y = 2 z = 2


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