Question

Solve and check equation 1/4y+1/2=5

Answer 1

Step-by-step explanation:

$\frac{1}{4y} + \frac{1}{2} = 5 \\ \\ \frac{1 }{4y} = 5 - \frac{1}{2} \\ \\ \frac{1}{4y} = \frac{10 - 1}{2} \\ \\ \frac{1}{4y} = \frac{9}{2} \\ \\ 2 = 4y \times 9 \\ \\ 36y = 2 \\ \\ y = \frac{2}{36} \\ \\ y = \frac{1}{18} \\ \\ now \: verifying \: the \: result \\ \\ \: put \: value\: of \: y \: in \: the \: given \: equation \\ \\ \frac{1}{4( \frac{1}{18}) } + \frac{1}{2} = 5 \\ \\ \frac{1}{ \frac{2}{9} } + \frac{1}{2} = 5 \\ \\ \frac{9}{2} + \frac{1}{2} = 5 \\ \\ \frac{10}{2} = 5 \\ \\ 5 = 5 \\ \\which \: is \: true \: \\ hence \: the \: result \: is \: verified$