# Simultaneous Equations

• Jun 2nd 2012, 02:04 AM
kirshchereza
Simultaneous Equations
Hi guys,

I really need some help with this problem, along with working.

I have done heaps of these but this one keeps giving me issues:

2x+5y+3z = 16
x/5+y/2+z/3=2
3x-2y-4z=-2

solve for x,y,z
• Jun 2nd 2012, 02:12 AM
Prove It
Re: Simultaneous Equations
Quote:

Originally Posted by kirshchereza
Hi guys,

I really need some help with this problem, along with working.

I have done heaps of these but this one keeps giving me issues:

2x+5y+3z = 16
x/5+y/2+z/3=2
3x-2y-4z=-2

solve for x,y,z

I'd start by multiplying all of the second equation by 5. This will give a single x term. Then make this equation the first row, and it will make eliminating the other x values quite easy. See what you can do.
• Jun 2nd 2012, 08:28 AM
Wilmer
Re: Simultaneous Equations
Quote:

Originally Posted by kirshchereza
2x+5y+3z = 16 [1]
x/5+y/2+z/3=2 [2]
3x-2y-4z=-2 [3]

[2] * 30: 6x + 15y + 10z = 60
[1] * -3:-6x - 15y - 9z = -48
So z = 12 ; continue...
• Jun 3rd 2012, 10:19 PM
kirshchereza
Re: Simultaneous Equations
Im still confused. I learnt how to do this a different way. anyone willing to give me whole solution so I can learn?
• Jun 4th 2012, 12:54 AM
manouela42
Re: Simultaneous Equations
Hello, do you know how to solve a matrix? I solved the equations. Do you want me to reveal the solution?
• Jun 4th 2012, 02:17 AM
kirshchereza
Re: Simultaneous Equations
• Jun 4th 2012, 02:21 AM
Prove It
Re: Simultaneous Equations
Quote:

Originally Posted by manouela42
Hello, do you know how to solve a matrix? I solved the equations. Do you want me to reveal the solution?

Don't post a solution until the OP has shown some effort.
• Jun 4th 2012, 02:57 AM
manouela42
Re: Simultaneous Equations
Well I'm not allowed to post the solution. Try to solve it with matrix. You have to make 4 matrices with the coefficients of unknown variables.
• Jun 4th 2012, 02:59 AM
manouela42
Re: Simultaneous Equations
Use D (determinants)