Pair Of Linear Equations Mock Tests

If 2x + 3y = 18 and 3x − 3y = 12, 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 the condition of infinitely many solutions?

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

For what value of k will the equations 2x + ky = 8 and 3x + 4y = 6 have no solution?

The pair of linear equations x + y = 5 and 2x + 2y = 10 represents lines that are:

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

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

If 2x + 3y = 24 and 2x - 3y = 12, then x + y is: