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Kazeer [188]
3 years ago
10

5. If 2x - y = 10 then for x= 8 what is the value of y?a) 7b) 6 C) 5d) 4​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0
The answer is b, 6

if x=8 then you need to plug in 8 for your in the equation, so you’d have 2(8) - y = 10

you’d get: 16 - y = 10

you’d then subtract 16 from both sides to get -y alone

so now you have -y = -6

you can’t have a -y so you’ll have to divide -1 from both sides

you’ll end up with y=6, which is your answer
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Move everything to one side to prepare to factorize:

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As long as cos(<em>x</em>) ≠ 0, we can omit the term in the denominator, so we're left with

sin(<em>x</em>) (3 - 4 cos²(<em>x</em>)) = 0

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sin(<em>x</em>) = 0   <u>or</u>   3 - 4 cos²(<em>x</em>) = 0

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On the interval [0, 2<em>π</em>),

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• cos(<em>x</em>) = -√3/2 for <em>x</em> = 5<em>π</em>/6 and <em>x</em> = 7<em>π</em>/6

(None of these <em>x</em> make cos(<em>x</em>) = 0, so we don't have to omit any extraneous solutions.)

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Explanation:
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