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Assoli18 [71]
3 years ago
14

Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0

Answer:  \bold{x=\dfrac{11}{21}}

<u>Step-by-step explanation:</u>

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

nataly862011 [7]3 years ago
6 0

Answer:

X=-2/3

Step-by-step explanation:

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Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104. So I have to find r. But is this right: 7104 = 444r^4 r^4 = 16
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Third term = t3 = ar^2 = 444           eq. (1)

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By solving (1) and (2) we get,

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