Answer:
The given solution for the system is x = 5, y = -2 and z = -5
Step-by-step explanation:
Here, the given set of equations are:
2 x + 4 y +2 z = -8
5 y- 2 z = 0
4 z = -20
Now, simplifying each question one by one ,we get:
Simplifying third equation for the value of z:
4 z = -20 ⇒ z = -20 / 4 = - 5
or, z = -5
Simplifying second equation for the value of y:
Substitute the value of z = -5 in (2) , we get
5 y- 2 z = 0 ⇒ 5 y - 2(-5) = 0
or, 5 y + 10 = 0
or, 5 y = -10
or, y = -10/5 = -2
⇒ y = -2
Simplifying first equation for the value of x:
Substitute the value of z = -5 and y = -2 in (1) , we get
2 x + 4 y + 2 z = -8 ⇒ 2 x + 4 (-2) + 2 (-5) = -8
or, 2 x - 8 - 10 = -8
or, 2 x = 10
x = 10 / 2 = 5, or x = 5
Hence, the given solution for the system is x = 5, y = -2 and z = -5
