Question

Question 9

Explain using complete sentences how you would solve for the
variable a in this equation : p = (3a +4)/ b
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Daragranh
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Answer 1

Hello,

All my sentences will be written in mathematical language.

Explanation:

`p=(3a+4)/(b) \\\\p*b=3a+4 \ :\ \forall\ x,y,z\in\mathbb{R},z\\eq 0:x=y\Longleftrightarrow\ x*z=y*z\\\\p*b-4=3a \ :\forall\ x,y,z\in\mathbb{R} :x=y\Longleftrightarrow\ x+z=y+z\\\\(p*b-4)/(3) =a \ :\forall\ x,y,z\in\mathbb{R},z\\eq 0:x=y\Longleftrightarrow\ x*z=y*z\\\\a=(p*b-4)/(3) \ :\forall\ x,y\in\mathbb{R}:x=y\Longleftrightarrow\ y=x`

Answer 2

To solve for a, you will need to get that variable alone on one side. First you will multiply each side by variable b. This will give you the equation pb = 3a + 4. Next you subtract 4 from each side. This puts it at pb - 4 = 3a. After that you’ll divide both sides by 3 and get a alone. This gives you (pb - 4)/3 = a or, if you switch it around, a = (pb - 4)/3. This is the simplest form when solving for a in this equation.