Question

Solve the equation. y-6/y =5

Answer 1

-3/2

Explanation:

multiply both sides by y:

y-6 = 5y

subtract y from both sides:

-6 = 4y

divide both sides by 4:

-6/4 = y

y = -3/2

Answer 2

`(y-6)/(y)=5\quad :\quad y=-(3)/(2)`

`\mathrm{Multiply\:both\:sides\:by\:}y\\(y-6)/(y)y=5y\\\mathrm{Simplify\:}(y-6)/(y)y:\quad y-6\\y-6=5y\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\y-6+6=5y+6\\y=5y+6\\\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}\\y-5y=5y+6-5y\\-4y=6\\\mathrm{Divide\:both\:sides\:by\:}-4\\(-4y)/(-4)=(6)/(-4)\\y=-(3)/(2)`

OR

`y-(6)/(y)=5\quad :\quad y=6,\:y=-1`

`\mathrm{Multiply\:both\:sides\:by\:}y\\yy-(6)/(y)y=5y\\y^2-6=5y\\\mathrm{Solve\:}\:y^2-6=5y:\quad y=6,\:y=-1`

Hope this helps!!!!