SOLUTION: How do I solve a problem when the variables are apart of the fraction?
2/y + 3/x + 8 = 0
4/z - 2/x + 5 = 0
1/y + 4/z = -5
Algebra.Com
Question 722069: How do I solve a problem when the variables are apart of the fraction?
2/y + 3/x + 8 = 0
4/z - 2/x + 5 = 0
1/y + 4/z = -5
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let a= 1/x
b=1/y
and c=1/z
2b+3a=-8................(1)
4c-2a=-5.....................(2)
b+4c=-5.......................(3)
4c-2a=-5( multiply by -1)
-4c+2a=5
b+4c=-5
add both we get
2a+b=0
2b+3a=-8 ...from (1)
eliminate b-a=-8
a=8
so b=-16
c=11/4
Reciprocal of a,b.c are x,y,z
x=1/8, y=-1/16, z= 4/11
RELATED QUESTIONS
1/x + 2/y - 4/z = 1
2/x + 3/y + 8/z = 0
-1/x + 9/y + 10/z = 5
then solve x, y and... (answered by Fombitz)
Write the augmented matrix for the system of equations and solve the system.
2x–3y+2z=2
(answered by jim_thompson5910)
so Im trying to brush up on my skills and have been presented with:
x - y - z = 5
y... (answered by solver91311,ikleyn,MathTherapy)
Use the inverse matrix to solve this system of equations:
4x+3y=7.5
7x+9z=14
4y-z=8.3
(answered by MathLover1)
Solve {{{system(x+2*y-z = 5, 2*x-4*y+z = 0, 3*x+2*y+2*z = 3)}}} (answered by jim_thompson5910)
I have worked this problem about 5 times and the answers I get do not satisfy each... (answered by stanbon)
Write the system of linear equations represented by the augmented matrix. Use x,y,z and, (answered by fractalier)
solve the following set of simultaneous equation by using Gaussian Elimination method :
(answered by Alan3354)
Is there an easy way to solve systems with 3 variables? I'm having a hard time... (answered by longjonsilver)