Question

Solve by elimination I don't need the answer I need the work

-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Answer 1

ok... so you will need to reduce this to 2 equations with 2 unknowns.

it is probably easiest to eliminate x

multiply every term in the 1st equation by -1 then add it to the 2nd equation

Call this equation 4

add the 2nd and 3rd equations...again eliminating x and call it equation 5

now you have 2 equations in 2 unknowns... and you need to select a new pronumeral to eliminate

Answer 2

I think my brain just died. but lets try this

Answer 3

2y x -1=-2y
3z x -1=-3z
0 x -1=0

Answer 4

here is an easier way add equation 1 and 3

-2x + 2y + 3z = 0
2x + 3y + 3z = 5
------------------
5y + 6z = 5 call it equation 4


next add equation 2 and equation 3

-2x - y + z = -3
2x + 3y + 3z = 5
--------------------
2y + 4z = 2

halve this equation

y + 2z = 1 call it equation 5

now eliminate z

equation 4 + (-3) times equation 5

5y + 6z = 5
-3y -6z = --3
-------------------------
2y = 2


now you can find y.

to find z substitute into either equation 4 or 5

to find x, substitute into any of the original equations.