Question 1023406
1/2x+y=7/6

Multiply both sides by 6 to get rid of fractions.

3x+6y=7

x+2y=4.5

Multiply both sides by 2 to get rid of fractions.

2x+4y=9

Notice that the coefficients of the second equations x and y are both 2/3 the first equation. If you multiply by 1.5 you get

3x+6y=13.5

But, first equation is 

3x+6y=7

These 2 lines are parallel. No solution.