Question

Which of the following is an equivalent form of the following solution?
2x-3y=3
a.) y= -2/3x-1
b.) y= 3/2x-1
c.) y= 2/3x-1
d.) y= 3x-1

Answer 1

we have 2x - 3y = 3

first shift 2x to right hand side for this subtract 2x from both sides
so we get 2x - 2x - 3y = 3 - 2x
==> 0 - 3y = 3 - 2x
so we get -3y = 3 - 2x
now we need to get rid of -3 from left side so to get rid -3
( here note that -3 is in multiplication operation with yso we need to divide both side by -3)
so divide both side by -3
so we get y = (3/-3) - (2x/3) = (-1 - 2x/3)
therfore we get y = -2x/3 - 1

Answer 2

have u understood ?