For which real values of

*m*are the simultaneous equations*y*=

*mx*+ 3

*y*= (2

*m*– 1)

*x*+ 4

satisfied by at least one pair of real numbers (

*x*,*y*)?- all
*m*> 0 - all
*m*≠ 0 - all
*m*≠ .5 - all
*m*≠ 1 - all values of
*m*

The simultaneous equations will have a real solution unless the lines are parallel. The lines are parallel if their slopes are the same, that is, when *m* = 2*m* – 1, or *m* = 1. The answer is (d).