SOLUTION: 16x-12y=44 and 1/(14x-8) - 1/(6y-14)=1/4 .Calculate x and y for the above equations?

Question 523756: 16x-12y=44 and 1/(14x-8) - 1/(6y-14)=1/4 .Calculate x and y for the above equations?
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
16x-12y=44
/4
4x-3y=11
3y=4x-11
multiply by 2
6y=8x-22
substitute 6y in equation

LCD = 4(14x-8)(8x-36)

Add like terms
112x^2-528x+400=0
/16
7x^2-34x+25=0
Find the roots of the equation by quadratic formula

a= 7 ,b= -34 ,c= 25

b^2-4ac= 1156 + -700
b^2-4ac= 456

x1=( 34 + 21.35 )/ 14
x1= 3.95
x2=( 34 -21.35 ) / 14
x2= 0.9
3y=4x-11
plug x=3.95
3y=4*3.95-11
y=(4*3.95-11)/3
y=1.6
(3.95,1.6)
---
3y=4x-11
plug x=0.9
3y=4*0.9-11
y=(4*0.9-11)/3
y=-2.46
(0.9,-2.46)
m.ananth@hotmail.ca

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