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AlekseyPX
3 years ago
8

Ab over 2 equal 2a minus 1,express a in terms of b

Mathematics
1 answer:
sasho [114]3 years ago
6 0

\frac{ab}{2} = 2a - 1

2(\frac{ab}{2}) = 2(2a - 1) <em>multiplied both sides by 2 </em>

ab = 4a - 2 <em>distributed the 2 on the right side</em>

ab - 4a = -2 <em>subtracted 4a from both sides</em>

a(b - 4) = -2 factored out "a" from the left side

a = \frac{-2}{b - 4} <em>divided (b - 4) on both sides</em>

Answer: a = \frac{-2}{b - 4}

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I am going to show you how easy this is. Once you understand, you will be able to do this forever.

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Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

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"the rectangle is twice as long as it is wide,", the equation for this statement:

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In the first equation, we can replace L with 2W, then we have

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Divide both sides by 6

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W = 39 meters is the width

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Remember it said the length is twice the width, therefore:

L = 2(39)

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Check this by finding the perimeter with these values

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