Pair Of Linear Equations Mock Tests

For what value of k does the system of equations kx + y = k² and x + ky = 1 have no solution?

If 2x + 3y = 18 and 3x − 3y = 12, the value of x is:

A man has some hens and cows. If the number of heads is 48 and the number of feet is 140, then the number of hens is:

For what value of k are the lines 2x + ky = 12 and 3x + y = 1 intersecting at exactly one point?

If x + y = 10 and x - y = 4, then the value of x is:

For what value of k will the pair of linear equations kx + 3y = k - 3 and 12x + ky = k satisfy k ≠ 0?

The pair of linear equations 3x + 2y = 8 and 6x + 4y = 16 represents lines that are:

Ahana walks to school at 2 km/h and reaches 5 minutes late. If she walks at 3 km/h, she reaches 10 minutes early. What is the distance from her home to school?