Answer: x - 2y = -3
=============================================
Work Shown:
y = (1/2)x + 3/2
2y = x + 3 .... multiply every term by the LCD 2
2y-x = 3 ... subtract x from both sides
-x+2y = 3
x-2y = -3 ... multiply both sides by -1
The last step is done so that the x coefficient is positive
The equation is in the form Ax+By = C with
You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.