Question

Py+qy=−4y+8 solve for y

Answer 1

The value of the equation y is
`y=(8)/((p+q+4))`.

Explanation:

Consider the provided equation.

`py+qy=-4y+8`

We need to solve the equation for y.

Add 4y both the sides of the above equation.

`py+qy+4y=-4y+4y+8`

`py+qy+4y=8`

Take y common as shown.

`y(p+q+4)=8`

Now, divide the both the sides by p+q+4.

`(y(p+q+4))/((p+q+4))=(8)/((p+q+4))`

`y=(8)/((p+q+4))`

Hence, the value of the equation y is
`y=(8)/((p+q+4))`.