Respuesta :

Answer:

q = [tex]\frac{4+3p}{5}[/tex]

Step-by-step explanation:

Given

5(q + p) = 4 + 8p ← distribute the left side

5q + 5p = 4 + 8p ( subtract 5p from both sides )

5q = 4 + 3p ( divide both sides by 5 )

q = [tex]\frac{4+3p}{5}[/tex]

The equation in its simplest form and q as subject is q = (1/5)(4+3p)

What is the meaning of Simplest form ?

Reducing any fraction or equation to its simplest form means to to reduce it to a form from where no more factors can be taken common from the numerator and denominator , or the equation is in the form where no more simplification can be done.

An equation is given in the question .

5(q+p) = 4+8p

To reduce it in the simplest form and making q as the subject ,

then p will be the subject .

5q+ 5p = 4+8p

5q = 4 + 8p - 5p

5q = 4 +3p

q = (1/5)(4+3p)

Therefore the equation in its simplest form and q as subject is q = (1/5)(4+3p)

To know more about Simplest Form

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