Math, asked by preithibagya8831, 3 months ago

a=1/2 (b-c) rearrange the formula to make b the subject

Answers

Answered by pulakmath007
4

SOLUTION

TO DETERMINE

To rearrange the formula to make b the subject

 \displaystyle \sf{1. \:  \:  \: a =  \frac{1}{2}(b - c) }

 \displaystyle \sf{2. \:  \:  \: a =  \frac{1}{2(b - c)} }

EVALUATION

SOLVE FOR QUESTION : 1

 \displaystyle \sf{ a =  \frac{1}{2}(b - c) }

 \displaystyle \sf{ \implies \: 2 a =(b - c) }

 \displaystyle \sf{ \implies \: 2 a + c =b}

 \displaystyle \sf{ \implies \: b = 2 a + c }

Which is the required expression where b as the subject

SOLVE FOR QUESTION : 2

 \displaystyle \sf{a =  \frac{1}{2(b - c)} }

 \displaystyle \sf{ \implies \: (b - c) =  \frac{1}{2a} }

 \displaystyle \sf{ \implies \: b=  c + \frac{1}{2a} }

 \displaystyle \sf{ \implies \: b=   \frac{2ac + 1}{2a} }

Which is the required expression where b as the subject

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