Question

X-4/7-X+4/5=X+3/7 SOLVE THE EQUATION AND VERIFY YOUR ANSWER

Answer 1

★sᴏʟᴜᴛɪᴏɴ:-

$\sf \dfrac{x-4}{7} - \dfrac{x+4}{5} = \dfrac{x+3}{7}$

$\sf \implies \dfrac{5x - 20 -(7x+28) = 5x+15}{35}$

$\sf \implies \cancel{5x} -20 - 7x - 28 = \cancel{5x}+15$

$\sf \implies - 20 - 7x - 28 =15$

$\sf \implies - 7x =15+28+20$

$\sf \implies -7x = 63$

$\sf \implies x = - \dfrac{63}{7}$

$\sf \implies x = -9$

★ᴠᴇʀɪғʏɪɴɢ:-

$\sf \dfrac{x-4}{7} - \dfrac{x+4}{5} = \dfrac{x+3}{7}$

$\sf \implies \dfrac{-9-4}{7} - \dfrac{-9+4}{5} = \dfrac{-9+3}{7}$

$\sf \implies \dfrac{-13}{7} - \dfrac{-5}{5} = \dfrac{-6}{7}$

$\sf \implies \dfrac{-65 -(-35) = -30}{35}$

$\sf \implies -65 +35= -30$

$\sf \implies -30= -30$

L.H.S = R.H.S

Hence, Verified!✅

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