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

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 Click here to see ALL problems on test 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(12270)   (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