Question

Literal equations: Solve for Y: 3X-2Y=8

Answer 1

`\sf 3X-2Y=8\\Add ~2 ~on~ both~ sides~ \\ 3X = 2Y + 8\\ Subtract~ 8~ on~ both~ sides \\ 3X - 8 = 2Y\\Divide~ 2~ on~ both~ sides\\ Y= (3X)/(2) - (8)/(2) \\\\Y = (3X)/(2) -4`

Answer 2

`3x-2y=8\ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\3x-3x-2y=8-3x\\\\-2y=8-3x\ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\-2y:(-2)=8:(-2)-3x:(-2)\\\\y=-4+(3)/(2)x\\\\\huge\boxed{y=(3)/(2)x-4}`