Question

Let y be a function of x such that 2x−3y=6. What is the rate of change of y with respect to x?

Answer 1

2x−3y=6

Step 1: Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Step 2: Divide both sides by 2.

2x2=3y+62

x=32y+3

Answer:

x=32y+3