Foundation - A pair of linear equation in two variables

For what value of k, the pair of linear equations 2x - y - 3 = 0, 2kx + 7y - 5 = 0 has a unique solution x = 1, y = -1?

• 3

• 4

• 6

• -6

If the pair of linear equations x - y = 1. x + ky = 5 has unique solution x =2, y = 1, then the value of k is

• -2

• 3

• 2

• 4

The pair of linear equations 2x + ky -3 = 0, 6x + 2/3y + 7 = 0 has a unique solution if

• 
• 
• 
• 

The pair of linear equation x + 2y = 5 and 3x + 12y = 10 has

• unique solution

• no solution

• more than two solutions

• infinitely many solutions

If the sum of 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 in years is

• 45

• 40

• 50

• 55

which of the following is/are solutions of the pair of equations 3x - 2y = 4 and 6x - 4y = 8?

• x=2, y=1

• x=4, y=4

• x=6, y=7

• all of these

The pair of linear equations 3x + 4y = k and 9x + 12y = 6 has infinitely many solutions if

• k = 2

• k = 6

• k = 4

• k = 3

Three chairs and two tables cost ₹1850. Five chairs and three tables cost ₹2850. Then the total cost of one table is

• ₹800

• ₹850

• ₹900

• ₹950