Question

ѕσlvє fσr х .

2x+1/3-x-3/4=1/2​​​

Answer 1

$2x + \frac{1}{3} - x - \frac{3}{4} = \frac{1}{2} \\ \\∴ 2x - x + \frac{1}{3} - \frac{3}{4} = \frac{1}{2} \\ \\ ∴x + \frac{(4 \times 1) - (3 \times 3)}{(3 \times 4)} = \frac{1}{2} \\ \\ ∴x + ( - \frac{5}{12} ) = \frac{1}{2} \\ \\∴ x - \frac{5}{12} = \frac{1}{2} ......[1]\\ \\ ∴x = \frac{1}{2} + \frac{5}{12} \\ \\∴ x = \frac{(12 \times 1) + (2 \times 5)}{(2 \times 12)} \\ \\∴ x = \frac{22}{24} \\ \\∴ x = \frac{(11 \times 2)}{(12\times 2)} \\ \\ ∴\red{x }= \red{\boxed{ \frac{11}{12} }}\\ \\\green{Lets\: verify\: the\: value \:of \:x,} \\ \\ \green{∴x - \frac{5}{12}= \frac{1}{2}.......from[1]}\\ \\\green{∴\frac{11}{12}-\frac{5}{12}= \frac{1}{2}}\\ \\\green{∴\frac{11-5}{12}= \frac{1}{2}}\\ \\∴\green{\frac{6}{12}= \frac{1}{2}}\\ \\∴\green{\frac{6×1}{6×2}= \frac{1}{2}}\\ \\\green{∴\frac{1}{2}= \frac{1}{2}} \\ \\ \green{Hence, \:verified\: the\: value \:is \:{\boxed{x= \frac{11}{12}}}}</p><p>$