Solve the equation 1 2x 14 9 x 7 6

Asked by maham237 @ in Mathematics viewed by 302 People

equation 1/2x+14 - 9/x+7= -6
a. x= -101/12
b. x= 101/12
c. x= -67/12
d. x= 67/12

Answered by maham237 @


\dfrac{1}{2x+14}-\dfrac{9}{x+7}=-6\ \ \ \ \ /D:x\neq-7/\\\\\dfrac{1}{2(x+7)}-\dfrac{9}{x+7}=-6\ \ \ \ |\cdot2\\\\\dfrac{1}{x+7}-\dfrac{18}{x+7}=-12\\\\\dfrac{1-18}{x+7}=-12\\\\\dfrac{-17}{x+7}=\dfrac{-12}{1}\ \ \ \ |cross\ multiply\\\\-12(x+7)=-17\cdot1\\\\-12x-84=-17\ \ \ |+84\\\\-12x=67\ \ \ |:(-12)\\\\x=-\dfrac{67}{12}


\text{Answer:}\ c.\ x=-\dfrac{67}{12}

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