Question

solve 5/8x-6=9 and verify​

Answer 1

Answer:

$\frac{5}{8x} - 6 = 9 \\ \\ = \frac{5 - 48}{8x} = 9 \\ \\ = \frac{ - 43}{8x} = 9 \\ \\ = - 43 = 72x \\ \\ \\ x = \frac{ - 43}{72}$

Answer 2

$\tt \frac{5}{8x} - 6 = 9 \\ \\ \tt\frac{5}{8x} = 9 + 6 \\ \\ \tt\frac{5}{8x} =15 \\ \\ \tt 5 = 15 \times 8x \\ \\ \tt5 = 120x \\ \\ \tt{x = \frac{5}{120} } \\ \\ \boxed{\tt{x = \frac{1}{24} }}$

Verification :

$\rm{LHS = \frac{5}{8x} - 6} \\ \\ \rm= \frac{5}{8 \times (\frac{1}{24}) } - 6 \\ \\ \rm= \frac{5}{ (\frac{1}{3}) } - 6 \: \: \: \: \: \: \\ \\ = \rm5 \times 3 - 6 \: \: \: \\ \\ \rm = 15 - 6 \: \: \: \: \: \: \: \: \\ \\ \rm= 9 = rhs \: \: \: \: \: \: \: \\ \\ \\ \ \colorbox{hotpink}{\tt{hence \: \: verified}}$

$\\ \\ \\ \\ \\ \red{ \mathfrak{hope \: \: this \: \: helps \: \: you \: }}$