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Mathematics 7 Online
OpenStudy (anonymous):

PLEASE HELP :( Make B the subject

OpenStudy (anonymous):

\[E = \alpha \theta + \beta \theta ^{2}\]

OpenStudy (kc_kennylau):

If we want to make a variable the subject of an equation, we deal with the thing furthest from the variable itself. For example, in this question, \(\theta^2\) is directly touching the variable, and \(\alpha\theta\) is separated from the term containing \(\beta\) by a \(+\) sign. Therefore, we shall deal with \(\alpha\theta\) first. (I'm making it lengthy because this will apply to all the questions you will ask)

OpenStudy (kc_kennylau):

In short, you'll move \(\alpha\theta\) to the left hand side first :)

OpenStudy (anonymous):

So would I begin by divide E by αθ ?

OpenStudy (kc_kennylau):

Please note that \(\alpha\theta\) is connected to the term with a \(+\) sign, and you'll thus have to take away \(\alpha\theta\) from \(E\) instead.

OpenStudy (kc_kennylau):

Take away = subtract

OpenStudy (anonymous):

oh yes i see because the times isn't in front! so would the equation at this step be: \[E - αθ = \beta \theta ^{2}\]

OpenStudy (kc_kennylau):

Yep :D

OpenStudy (anonymous):

then would it equal \[\beta = \frac{ E - αθ }{ \theta ^{2}}\]

OpenStudy (kc_kennylau):

Exactly, you're getting it now :D

OpenStudy (anonymous):

Yay thanks so much! I just need a lot of practise. Do you have any tips, because when i first get the question i get so overwhelmed and i dont know where to begin? but thank you so so so much you're helping me get it more and more

OpenStudy (kc_kennylau):

Please kindly refer to my lengthy comment in the beginning :)

OpenStudy (anonymous):

omg thank you so much! im writing that down! that is actually going to help me heaps @kc_kennylau

OpenStudy (kc_kennylau):

No problem at all :)

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