Pair of Linear ...

From Delhi station, if we buy 2 tickets for station A and 3 tickets for station B, the total cost is Rs. 77. But if we buy 3 tickets for station A and 5 tickets for station B, the total cost is Rs. 124. What are the fares from Delhi to station A and to station B?

The pair of linear equations $$3x+5y=3, 6x+ky=8$$ do not have any solution if

The pair of linear equations $$3x - 5y + 1 = 0, 2x - y + 3 = 0$$ has a unique solution $$x = x_1, y=y_1$$ then $$y_1=$$

If the sum of the ages of a father and his son in years is $$65$$ and twice the difference of their ages in years is $$50$$, then the age of the father is:

The pair of linear equations $$13x + ky = k, 39x + 6y = k +4$$ has infinitely many solutions if

The pair of equations $$x + 2y + 5 = 0$$ and $$- 3x - 6y + 1 = 0$$ have

The pair of linear equations $$x + 2y = 5, 3x + 12y = 10$$ has

Six years hence, a man's age will be three times the age of his son and three years ago he was nine times as old as his son. The present age of the man is

The pair of linear equations $$x + 2y = 5, 7x + 3y = 13$$ has a unique solution

The pair of linear equations $$2x + ky = k, 4x + 2y = k + 1$$ has infinitely many solutions if