Make q the subject of the formula 5(q+p)=4+8
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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)
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)
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