Question

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Answer 1

Answer:

e = -12/5

@@@@@@@@@hope you will like it

Answer 2

$\dashrightarrow \tt\purple{ </strong><strong>S</strong><strong>olution }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\dashrightarrow \small \tt{ \frac{1}{2}(e + 1) + \frac{1}{3}(e - 1) = \frac{5}{12}(e - 2) }$

$\dashrightarrow \tt{ \frac{(e + 1)}{2} + \frac{e - 1}{3} = \frac{5e - 10}{12} }$

$\dashrightarrow \tt{ \frac{3(e + 1) + 2(e - 1)}{6} = \frac{5e - 10}{12} }$

$\dashrightarrow \tt{ \frac{3e +3 + 2e -2}{6} = \frac{5e - 10}{12} }$

$\dashrightarrow \tt{ \frac{5e+ 1}{6} = \frac{5e - 10}{12} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\dashrightarrow \small \tt \purple{ Do \: Cross \: Multiplication }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\dashrightarrow \small \tt{ 12(5e+ 1) = 6(5e - 10) }$

$\dashrightarrow \small\tt{ 60e+ 12 = 30e - 60 }$

$\dashrightarrow \small\tt{ 60e - 30e = - 60 - 12 }$

$\dashrightarrow \small\tt{ 30e = -72 }$

$\dashrightarrow \small\tt{ e = \cancel\frac{ - 72}{30} }$

$\small{ \boxed{ \dashrightarrow \small\tt{ e = \frac{ - 12}{5} }}}$