Question

solve for y.
\\(\frac{y}{y - 5} - 3 = \frac{5}{y - 5}\\)
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
\\(y = \\)
no solution, \\(\sqrt{\square}\\), \\(\frac{\square}{\square}\\), \\(\square,\square,...\\)

Explanation:

Step1: Eliminate the denominator

Multiply both sides of the equation \(\frac{y}{y - 5}-3=\frac{5}{y - 5}\) by \(y - 5\) (note that \(y
eq5\) to avoid division by zero). We get \(y-3(y - 5)=5\).

Step2: Simplify the left - hand side

Expand the left - hand side: \(y-3y + 15=5\). Combine like terms: \(-2y+15 = 5\).

Step3: Solve for y

Subtract 15 from both sides: \(-2y=5 - 15=-10\). Then divide both sides by \(-2\): \(y=\frac{-10}{-2}=5\). But we had the restriction \(y
eq5\) from the original equation (because when \(y = 5\), the denominator \(y - 5=0\)). So there is no solution.

Answer:

No solution