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Mathematics

Grade-8

Easy

Question

Solve $fraction numerator 2 x minus 5 over denominator 3 x minus 1 end fraction equals fraction numerator 2 x minus 1 over denominator 3 x plus 2 end fraction$

$\frac{11}{2}$
$- \frac{11}{6}$
$\frac{13}{6}$
$\frac{15}{3}$

hint Hint:

$w e space k n o w space t h a t space a over b equals space c over d rightwards double arrow a d space equals space b c$

The correct answer is: $negative 11 over 6$

$fraction numerator 2 x minus 5 over denominator 3 x minus 1 end fraction equals fraction numerator 2 x minus 1 over denominator 3 x plus 2 end fraction left parenthesis 2 x space minus space 5 right parenthesis space left parenthesis space 3 x space plus space 2 right parenthesis space equals space left parenthesis 2 x minus 1 right parenthesis left parenthesis 3 x space minus space 1 right parenthesis space space space space space left parenthesis b e c a u s e space a over b equals c over d comma space t h e n space a d space equals space b c right parenthesis 6 x squared space plus space 4 x space minus space 15 x space minus 10 equals space 6 x squared minus 2 x minus 3 x plus 1 6 x squared minus 11 x space minus 10 space equals space space 6 x squared minus 5 x plus 1 6 x squared minus 11 x space minus 6 x squared space plus space 5 x space equals 1 space plus space 10 minus 6 x space equals space 11 x space equals space fraction numerator negative 11 over denominator 6 end fraction space i s space t h e space a n s w e r$

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