Question 523756
16x-12y=44 
/4
4x-3y=11
3y=4x-11
multiply by 2
6y=8x-22
substitute 6y in equation 

{{{1/(14x-8) - 1/(6y-14)=1/4 }}}

{{{1/(14x-8) -1/(8x-22-14)=1/4}}}

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

{{{4(8x-36)-4(14x-8)=(14x-8)(8x-36)}}}

{{{32x-144-56x+32=112x^2--504-64x+288}}}

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				
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}					
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}					
{{{x1=(-12+21)/(14)}}}					
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)

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