36x-15y+50z=-10

2x+25y=40
54x-5y+30z=-160

4 answers

are you solving for x, y, and z ?
what method have you learned ?

I would change the second equation to
2x = 40 - 25y

now think of the first equation,
36x-15y+50z=-10 as
18(2x) - 15y + 50z = -10
18(40 - 25y) - 15y + 50z = -10

simplify and do the same thing to the third equation.
Now you have 2 equations in y and z, which can be readily solved.

Let me know what you got.
The method we learned is like multiplying an equation and then add it to another equation to cancel a variable. I did:

36x-15y+50z=-10
-162x+15y-90z=480 (3rd eq. multiplied by 3)
which gave me -126x-40z=470

then I did:

2x+25y=40
270x-25y+150z=-800 (3rd eq. multiplied by 5)
which gave me 272x+150z=-760

This is the part where I'm stuck on because I usually would combine the 2 new equations (after multiplying one of them to cancel out a variable) to cancel out a variable. But in this case I can't find a number that helps?
ok, I would now work on the z's
you have -40z and +150z

the LCM of 40 and 150 is 600, so multiply your -126x-40z=470 by 15 and
272x+150z=-760 by 4

You would then add to eliminate the z's

I did not check your arithmetic, so good luck
Oh okay I forgot to use the LCM. Thanks :]