Pair of Linear ...

Which of the following pairs of equations represents coincident lines?

Which of the following pairs of equations represents parallel lines?

Under which of the following circumstances does a pair of linear equations have a unique solution?

If x + y = 0 and x + 2y = 4, find the value of y.

If a + b = 4 and a - b = 8, find the value of a b.

If 7x + 4y = 18 and x - y = 0, then find the value of 11(x + y).

If 3a + b = 7 and 4a - 2b = 6, find the value of .

If x + 5y = 0 and 2x - 5y = 0, find the value of x² + y².

Which of the following values of x and y represent the solution of the pair of equations a₁x + b₁y – c₁ = 0 and a₂x + b₂y – c₂ = 0?

A total of 500 tickets to a show are sold. If an adult ticket costs £3, a child ticket costs £2 and a total amount of £1300 is collected, then how many tickets of each kind are sold?

A woman is now 20 years older than her son. After 5 years, the age of the woman will be twice the age of her son. What is the present age of the woman?

Cost of 2 pens and 8 pencils is 22p and the cost of 4 pens and 2 pencils is 16p. What will be the cost of one pen and one pencil?

The ratio of income of Aman to income of Raman is 4 : 3. Their expenditures are in the ratio 3 : 1. If their respective savings are Rs. 16,000 and Rs. 25,000, what is the income of Aman?

The numerator of a fraction is three more than the denominator. When 3 is added to the numerator and 10 is added to the denominator, the fraction becomes What is the product of the numerator and the denominator of the original fraction?

A man rows a boat 4 km upstream and 5 km downstream in 3 hours. He also rows 3 km upstream and 6 km downstream in 4 hours. What are the equations formed if 'x' is the speed of the boat in still water and 'y' is the speed of the current?