Asked by Vincent
36x-15y+50z=-10
2x+25y=40
54x-5y+30z=-160
2x+25y=40
54x-5y+30z=-160
Answers
Answered by
Reiny
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.
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.
Answered by
Vincent
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?
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?
Answered by
Reiny
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
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
Answered by
Vincent
Oh okay I forgot to use the LCM. Thanks :]
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