Question

please help i'll give brainliest and 5 stars. step by step explanation and answer please

Answer 1

Answer:

Solving the equation : $y+\frac{y}{a}=b\:if\:a\neq\: -1$  for y we get $\mathbf{y= \frac{ab}{a+1},\:if\:a\neq -1}$

Step-by-step explanation:

We need to solve for y the equation: $y+\frac{y}{a}=b\:if\:a\neq\: -1$

We need to find value of y

Solving:

$y+\frac{y}{a}=b$

Taking LCM of a, 1 we get a

$\frac{a*y+y}{a}=b\\\frac{ay+y}{a}=b$

Multiply both sides by a, a will be cancelled on left side

$a(\frac{ay+y}{a})=ab\\ay+y=ab$

Taking y common from left side:

$y(a+1)=ab$

Divide both sides by a+1

$\frac{y(a+1)}{a+1}=\frac{ab}{a+1}\\y= \frac{ab}{a+1},\:if\:a\neq -1$

So, Solving the equation : $y+\frac{y}{a}=b\:if\:a\neq\: -1$  for y we get $\mathbf{y= \frac{ab}{a+1},\:if\:a\neq -1}$