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makvit [3.9K]
3 years ago
6

If g(x) = 3x - 1 and if g(a) = 7, then which of the following is the value of a?

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
7 0

Answer:

8/3

Step-by-step explanation:

So if a=x then 3a-1=7 therefore 3a=8 and a=8/3

Vaselesa [24]3 years ago
5 0

Answer:

So,

g(x) = 3x - 1

And,

g(a) = 3a - 1

But, given g(a) = 7

So, from 2nd and 3rd step,

3a-1=7

3a=6

Therefore, a = 2

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Answer:

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Step-by-step explanation:

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<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>

2x + 3 = 21x/15 + 9

<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>

30x+ 45 = 21x + 135

<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>

9x = 90

<em><u>(divide 90 by 9)</u></em>

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<h2>Another solution:</h2>

2x/3 + 1 = 7x/15 + 3

<u><em>(find the LCM of 3 and 15 = 15)</em></u>

<u><em>(multiply everything in the equation by 15, then simplify)</em></u>

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<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>

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<em><u>(divide 30 by 3)</u></em>

x = 10

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See answer below

Step-by-step explanation:

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