Answered

For all your questions, big or small, IDNLearn.com has the answers you need. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

Solve for [tex][tex]$y$[/tex][/tex].
Assume the equation has a solution for [tex]$y$[/tex].

[tex]
\begin{array}{l}
py + qy = -4y + 8 \\
y = \square
\end{array}
[/tex]

Sagot :

GinnyAnsweridn
To solve the equation for [tex]\( y \)[/tex] given by:

[tex]\[ p y + q y = -4 y + 8, \][/tex]

we can follow these steps:

1. Combine like terms on both sides of the equation.

On the left-hand side, combine [tex]\( p y \)[/tex] and [tex]\( q y \)[/tex]:

[tex]\[ (p + q) y = -4 y + 8. \][/tex]

2. Move all terms involving [tex]\( y \)[/tex] to one side of the equation. Add [tex]\( 4y \)[/tex] to both sides to accomplish this:

[tex]\[ (p + q) y + 4 y = 8. \][/tex]

3. Factor out [tex]\( y \)[/tex] on the left-hand side:

[tex]\[ (p + q + 4) y = 8. \][/tex]

4. Solve for [tex]\( y \)[/tex] by dividing both sides of the equation by [tex]\( (p + q + 4) \)[/tex]:

[tex]\[ y = \frac{8}{p + q + 4}. \][/tex]

Hence, the solution for [tex]\( y \)[/tex] is:

[tex]\[ y = \frac{8}{p + q + 4}. \][/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.