Question

Solve for y hdgkgsydkydutskgxtisit

Answer 1

`\large\boxed{y=(2x+1)/(x-5)}`

Explanation:

`x=(5y+1)/(y-2)\\\\(x)/(1)=(5y+1)/(y-2)\qquad\text{cross multiply}\\\\(x)(y-2)=(1)(5y+1)\qquad\text{use the distributive property}\\\\xy-2x=5y+1\qquad\text{add 2x to both sides}\\\\xy=5y+2x+1\qquad\text{subtract 5y from both sides}\\\\xy-5y=2x+1\qquad\text{distributive}\\\\y(x-5)=2x+1\qquad\text{divide both sides by}\ (x-5)\\\\y=(2x+1)/(x-5)`

Answer 2

You said X = (5y+1) / (y-2)

Multiply each side by (y-2):

X(y-2) = (5y+1)

Eliminate parentheses:

Xy - 2X = 5y + 1

Add 2X to each side:

Xy = 5y + 1 + 2X

Subtract 5y from each side:

(X-5)y = 1 + 2X

Divide each side by (X-5):

y = (1+2X) / (X-5)