Question

which value of y would satisfy the equation 5y+8=3y-2?​

Answer 1

$\large\sf\underline{Given\::}$

• $\sf\:5y+8=3y-2$

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$\large\sf\underline{To\:find\::}$

• Value of y such that the given equation is verified.

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$\large\sf\underline{Solution\::}$

$\sf\:5y+8=3y-2$

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• Transposing 3y from RHS to LHS. As +ve sign lies in 3y when we transpose it the sign changes to -ve.

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$\sf\implies\:5y-3y+8= -2$

$\sf\implies\:2y+8= -2$

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• Transposing 8 from LHS to RHS. As +ve sign lies in 8 when we transpose it the sign changes to -ve.

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$\sf\implies\:2y= -2 -8$

$\sf\implies\:2y= -10$

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• Transposing 2 from LHS to RHS. As × sign lies between 2 and y when we transpose 2 to other side the sign changes to ÷ .

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$\sf\implies\:y= \cancel{\frac{-10}{2}}$

$\large{\underline{\boxed{\mathrm\pink{\implies\:y\:=\:-5}}}}$

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$\large\sf\underline{Verifying\::}$

$\sf\:5y+8=3y-2$

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• Let's substitute the value of y as ( - 5 )

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$\sf\implies\:5 (-5) +8=3 (-5) -2$

$\sf\implies\:-25 +8= -15 -2$

$\sf\implies\:\cancel{-}17=\cancel{ -}17$

$\sf\implies\:17= 17$

$\small\fbox\blue{Hence\:Verified}$

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!! Hope it helps !!

Answer 2

$\large\green { \mathscr {Q \mathfrak {uestion:-}}}$

Which value of y would satisfy the equation $\rm 5y+8=3y-2$?

$\large \green {\mathscr {S\mathfrak{olution:-}}}$

$\pink {\implies}\tt 5y+8=3y-2$

$\pink {\implies}\tt 5y-3y=-2-8$

$\pink \implies \tt 2y=-10$

$\pink \implies \tt y= \cfrac{ - 10}{2}$

$\underline {\boxed {\tt {\pink {\therefore y=-5 \: for \: 5y+8=3y-2}}}}$

$\large \green {\mathscr {V \mathfrak {erification:-}}}$

Substituting y = -5 in 5y + 8 = 2y - 2 and solving :-

$\pink \implies \tt 5y+8=2y-2$

$\pink \implies \tt 5(-5)+8=3(-5)-2$

$\pink \implies \tt -25+8= - 15 - 2$

$\pink \implies \tt -17=-17$

$\underline {\boxed {\tt \pink {Hence, verified \: !!}}}$

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Hope the answer's clear!!