when rearranging the equation 6y = 9 - 3x to make x the subject, am i right in thinking to add 3x to both sides (6y + 3x = 9), then subtract 6y on both sides(3x = 9 - 6y then divide both by 3(x = 9 - 6y/3)?
You have it.
x=3-2y
Actually, you made a small mistake. Let's go through the steps again to rearrange the equation 6y = 9 - 3x to make x the subject correctly.
Step 1: To isolate the term with x, first, we want to get rid of the -3x on the right side of the equation. To do this, we need to add 3x to both sides of the equation:
6y + 3x = 9
Step 2: Now, we want to isolate the x term completely. To do this, we need to subtract 6y from both sides of the equation:
3x = 9 - 6y
Step 3: Finally, we can solve for x by dividing both sides of the equation by 3:
x = (9 - 6y)/3
So, the correct rearranged equation is x = (9 - 6y)/3.