Question

Part 1: Explain, in complete sentences, which method you would use to solve the following system of equations. (1 point) Part 2: Explain why you chose that method. (1 point) Part 3: Provide the solution to the system. (2 points) x – 3y + 4z = –9 2x + y + 3z = 6 x – 4y + 3z = –9

Answer 1

use lpp

Answer 2

x-3y+4z=-9
2x+y+3z=6
x-4y+3z=-9

solve by elimination method

x-3y+4z=-9 multiplie by -2 and will get

-2x +6y -8z=18
2x +y +3z = 6
------------------ add term by term
0 7y -5z = 24

2x+y+3z=6
x -4y+3z=-9 multiplie by -2 and will get -2x+8y-6z=18


2x +y +3z=6
-2x+8y-6z=18
--------------- add term by term
0 9y -3z =24

than you have got first

7y-5z=24 multiplie first equation by 3 to eliminate adding the term of z
9y-3z=24 multiplie second equation by -5


21y-15z=72
-45y+15z=-120
----------------- adding will get
-24y 0 = -48

-24y=-48

y= -48/(-24) = 2

y=2

7y-5z=24

7*2-5z=24

14-5z=24

-5z=10

z= 10/(-5) = -2

z = -2
y = 2

2x+y+3z=6

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

2x +2 -6 =6

2x +4=6

2x= 2

x=2/2

x =1
y = 2
z = -2


hope so much that this will help you

good luck

bye