Formulate the following problems as a pair of linear equations, and hence find their solutions:
[question] Question. Formulate the following problems as a pair of linear equations, and hence find their solutions: (i) Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current. (ii) 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. (iii)Roohi travels 300...
Solve the following pairs of equations by reducing them to a pair of linear equations :
[question] Question. Solve the following pairs of equations by reducing them to a pair of linear equations : (i) $\frac{1}{2 x}+\frac{1}{3 y}=2, \frac{1}{3 x}+\frac{1}{2 y}=\frac{13}{6}$ (ii) $\frac{2}{\sqrt{x}}+\frac{3}{\sqrt{y}}=2, \frac{4}{\sqrt{x}}-\frac{9}{\sqrt{y}}=-1$ (iii) $\frac{4}{x}+3 y=14, \frac{3}{x}-4 y=23$ (iv) $\frac{5}{(x-1)}+\frac{1}{(y-2)}=2, \frac{6}{(x-1)}-\frac{3}{(y-2)}=1$ (v) $\frac{7 x-2 y}{x y}=5, \frac{8 x+7 y}{x y}=15$ (vi) $6 x+3 y=6 x y, 2 x+4 y=5 x y$ (viii) $\frac...