Solve 4x - y = 6

2x - y/2 = 4

There is no solution to this problem

Answer: no solution

so useing the first equation:

y=4x-6

substituting into the second equation we have

2x - (4x-6) / 2=4

2x-2x+3=4

3=4 <- - a false statement

which means there are no solutions

we can see that this is the case by multiplying the second equation by 2 and observing that it has the same coefficients as the first equation. this means that the lines have the same slope, and are therefore parallel.