Question

these are hard to put on here but what is the solution to the system of equations
|{ -3x-y+2z=-4
<|{ x-y+z=10
|{ 2x-3y+z=4

Answer 1

matrix or sub seems to be the easiest.... sub being the eaiser

Answer 2

-3x-y+2z=-4
x-y+z=10 <-- z = 10-x+y
2x-3y+z=4


-3x -y +2(10-x+y) = -4
-3x -y +20 -2x+2y = -4

-5x +y = -24 ; y = 5x -24
-----------------------

2x -3y+(10-x+y) = 4

x -2y = -6
------------------------

x - 2(5x -24) = -6

x - 10x +48 = -6

-9x = -54

x = 6
.................................
y = 5x -24
y = 30 -24 = 6

.................................
z = 10-x+y
z = 10-6+6 = 10

dbl check

Answer 3

i am

Answer 4

-3x-y+2z=-4

-3(6) -6 +2(10) = -4
-18 -6 +20 = -4
-24 +20 = -4
-4 = -4 ...checks

x-y+z=10
6-6+10 = 10
0+10=10
10=10 .... checks

2x-3y+z=4
2(6) -3(6) +10 = 4
12 -18 +10 = 4
-6 +10 = 4
4=4 ......checks

Answer 5

x=6 , y=6 , z=10