Question

CLASS
SUBJECT
ROLL NO
DATE
A Solve 6x+7/2=3/2x-14 .​

Answer 1

$\dfrac{6x+7}{2}=\dfrac{3}{2x-14}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\dfrac{a}{b}=\dfrac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$\left(6x+7\right)\left(2x-14\right)=2\cdot \:3$

$\left(6x+7\right)\left(2x-14\right)=6$

$x=\dfrac{35+\sqrt{2473}}{12},\:x=\dfrac{35-\sqrt{2473}}{12}$