What is the solution of this system of linear equations? 3y = x + 6 y - x = 3

First isolate y by adding x to both sides in y-x=3 and getting y=x+3

Step 1: substitute x+3 for y in 3y=x+6 to get 3 (x+3) = x+6

Step 2: distribute 3x+9=x+6

Step 3: subtract like terms 2x=-3

Step 4: divide x=-3/2

substitute - 3/2 for x in y=x+3 to get

y=-3/2+3

y=3/2

answer: y=3/2 x=-3/2