Question 529954
1.3x - 2y = 6
2y=3x-6
y=(3/2)x-3 slope is (3/2)

2x + 3y = 6 
3y=-2x+6
y=(-2/3)x+2 slope is (-2/3)

(3/2)*(-2/3)=-1 means the lines are perpendicular

2. x + 3y = 32
   -3x + 2y = 3

x=32-3y

-3(32-3y)+2y=3
-96+9y+2y=3
-96+11y=3
11y+99
y=9

x=32-3*9
x=5