MATH SOLVE

2 months ago

Q:
# 2x+4y+2z= -85y-2z= 04z= -20

Accepted Solution

A:

Answer:The given solution for the system is x = 5, y = -2 and z = -5Step-by-step explanation:Here, the given set of equations are:2 x + 4 y +2 z = -8
5 y- 2 z = 0
4 z = -20Now, simplifying each question one by one ,we get:Simplifying third equation for the value of z:4 z = -20 ⇒ z = -20 / 4 = - 5or, z = -5 Simplifying second equation for the value of y:Substitute the value of z = -5 in (2) , we get5 y- 2 z = 0 ⇒ 5 y - 2(-5) = 0 or, 5 y + 10 = 0or, 5 y = -10or, y = -10/5 = -2⇒ y = -2Simplifying first equation for the value of x:Substitute the value of z = -5 and y = -2 in (1) , we get2 x + 4 y + 2 z = -8 ⇒ 2 x + 4 (-2) + 2 (-5) = -8or, 2 x - 8 - 10 = -8or, 2 x = 10x = 10 / 2 = 5, or x = 5Hence, the given solution for the system is x = 5, y = -2 and z = -5