Question

(7+4)/y + 2 = - (4/3)​

Answer 1

GIVEN :-

$\implies \bf \dfrac{7 + 4}{y + 2} = - \dfrac{4}{3}$

TO FIND :-

$\implies \bf \: the \: value \: of \: y$

SOLUTION :-

$\implies \bf \dfrac{7 + 4}{y + 2} = - \dfrac{4}{3}$

By cross multiplication we get,

$\implies \bf \: - 4(y + 2) = 3(7 + 4) \\ \\ \implies \bf \: - 4y - 8 = 21 + 12 \\ \\ \implies \bf - 4y - 8 = 33 \\ \\ \implies \bf - 4y = 33 + 8 \\ \\ \implies \bf - 4y = 41 \\ \\ \implies \boxed{ \red{ \bf \: y = \dfrac{ - 41}{4} }}$

Hence the value of y is -41/4

VERIFICATION :-

$\implies \red{ \bf \: L.H.S} \: = \bf \dfrac{7 + 4}{y + 2} \\ \\ \implies \bf \bigg \{\dfrac{7 +4 }{ \frac{ - 41}{4} + 2} \bigg \} \\ \\ \implies \bf \: \bigg \{\dfrac{11}{ \dfrac{ - 41 + 8}{4} } \bigg \} \\ \\ \implies \bf \bigg \{ \dfrac{11}{ \dfrac{ - 33}{4} } \bigg \} \\ \\ \implies \bf 11 \times \dfrac{ - 4}{33} \\ \\ \implies \red{\bf \dfrac{ - 4}{3} }$

$\red{ \bf \: L.H.S \: = R.H.S} \\ \\ \implies \boxed{ \red{ \bf \:HENCE \: \: VERIFIED }}$