Question

Help: Show all steps.
Solve the system by elimination.
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Answer 1

@wio Canyou help me with this please?

Answer 2

adding the 1st and 3rd equations
then 2nd and 3rd equations will give
2 equations in 2 unknowns and eliminate x

1 + 3

5y + 6z = 5 equations 1 + 3 call it equation 4

2y + 4z = 2 Equations 2 + 3 call the result equation 5

double equation 4 and triple equation 5 and then subtract them to eliminate z

10y + 12z = 10
- 6y +12z = 6
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4y = 4

I'll leave you to find y

when you have it substitute into equation 4 to find z...

when you have y and z substitute into equation 1 to find x...

hope it helps

Answer 3

Thank you!

Answer 4

Would y=1? @campbell_st

Answer 5

thats correct...

Answer 6

@campbell_st can you help me with another one?

Answer 7

if you post it in the normal manner I'll look at it, and there are plenty of others who can help

Answer 8

I posted it as another question.