Question

If (5/3 ) -5 x (5/3 ) 11 = ( 5/3 ) 8x , then find ‘ x ‘.

Answer 1

$( \frac{5}{3} \times - 5) \times ( \frac{5}{3} \times 11) = \frac{5}{3} \times 8x \\ \frac{ - 25}{3} \times \frac{55}{3} = \frac{40x}{3} \\ \frac{ - 1375}{9} = \frac{40x}{3} \\ 3 \times - 1375 = 9 \times 40x \\ - 4125 = 360x \\ \frac{ - 4125}{360} = x \\ \large{\boxed{ \underline{ \underline{\frac{ - 275}{24}}} = x}}$