Question

Solve for y: x(y-3)=2y+1

Answer 1

Answer: y=(3x+1)/(x-2)

Step-by-step explanation: Step by step with principles included in the image.

Answer 2

Answer:

$y = \frac{3x + 1}{x - 2}$

Step-by-step explanation:

Add -2y to both sides:

xy−3x+−2y=2y+1+−2y

Simplify:

xy−3x−2y=1

Add 3x to both sides:

xy−3x−2y+3x=1+3x

Simplify:

xy−2y=3x+1

Factor out variable y:

y(x−2)=3x+1

Divide both sides by x-2:

$\frac{y(x - 2)}{x - 2} = \frac{3x + 1}{x - 2}$

Simplify:

$y = \frac{3x + 1}{x - 2}$

Hope this helps :)