Answer:
[tex]\leadsto \sf \dfrac{(7y + 2)}{5} =\: \dfrac{(6y - 5)}{11}\\[/tex]
[tex]\implies \sf\bold{\dfrac{(7y + 2)}{5} =\: \dfrac{(6y - 5)}{11}}\\[/tex]
[tex]\implies \sf \dfrac{7y + 2}{5} =\: \dfrac{6y - 5}{11}\\[/tex]
By doing cross multiplication we get,
[tex]\implies \sf 11(7y + 2) =\: 5(6y - 5)\\[/tex]
[tex]\implies \sf 77y + 22 =\: 30y - 25\\[/tex]
[tex]\implies \sf 77y - 30y =\: - 25 - 22\\[/tex]
[tex]\implies \sf 47y =\: - 47\\[/tex]
[tex]\implies \sf y =\: \dfrac{- \cancel{47}}{\cancel{47}}\\[/tex]
[tex]\implies \sf y =\: \dfrac{- 1}{1}\\[/tex]
[tex]\implies \sf\bold{\underline{y =\: - 1}}\\[/tex]
[tex]\sf\boxed{\bold{\therefore\: The\: value\: of\: y\: is\: - 1\: .}}\\[/tex]
[tex] \: \: \: \: \dfrac{(7y + 2)}{5} = \dfrac{(6y - 5)}{11} \\ \\ \sf{by \: cross \: multiplication} \\ \\ = 11(7y + 2) = 5(6y - 5) \\ \\ = 77y + 22 = 30y - 25 \\ \\ = 77y - 30y = - 22 - 25 \\ \\ = 47y = - 47 \\ \\ y = \cancel{\dfrac{ - 1}{1} } \\ \\ \boxed{ \sf{y = - 1}}[/tex]
Therefore, value of y is equals to -1.
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Answer:
Question :-
[tex]\leadsto \sf \dfrac{(7y + 2)}{5} =\: \dfrac{(6y - 5)}{11}\\[/tex]
Solution :-
[tex]\implies \sf\bold{\dfrac{(7y + 2)}{5} =\: \dfrac{(6y - 5)}{11}}\\[/tex]
[tex]\implies \sf \dfrac{7y + 2}{5} =\: \dfrac{6y - 5}{11}\\[/tex]
By doing cross multiplication we get,
[tex]\implies \sf 11(7y + 2) =\: 5(6y - 5)\\[/tex]
[tex]\implies \sf 77y + 22 =\: 30y - 25\\[/tex]
[tex]\implies \sf 77y - 30y =\: - 25 - 22\\[/tex]
[tex]\implies \sf 47y =\: - 47\\[/tex]
[tex]\implies \sf y =\: \dfrac{- \cancel{47}}{\cancel{47}}\\[/tex]
[tex]\implies \sf y =\: \dfrac{- 1}{1}\\[/tex]
[tex]\implies \sf\bold{\underline{y =\: - 1}}\\[/tex]
[tex]\sf\boxed{\bold{\therefore\: The\: value\: of\: y\: is\: - 1\: .}}\\[/tex]
Solution :
[tex] \: \: \: \: \dfrac{(7y + 2)}{5} = \dfrac{(6y - 5)}{11} \\ \\ \sf{by \: cross \: multiplication} \\ \\ = 11(7y + 2) = 5(6y - 5) \\ \\ = 77y + 22 = 30y - 25 \\ \\ = 77y - 30y = - 22 - 25 \\ \\ = 47y = - 47 \\ \\ y = \cancel{\dfrac{ - 1}{1} } \\ \\ \boxed{ \sf{y = - 1}}[/tex]
Therefore, value of y is equals to -1.