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devlian [24]
3 years ago
10

3/x+2 = 2/x−1 pleasee help

Mathematics
1 answer:
olga_2 [115]3 years ago
7 0
So you have:
\frac{3}{x} + 2  =  \frac{2}{x} - 1


1) Start off by multiplying both sides by x to simplify the problem:
\frac{3}{x} + 2 = \frac{2}{x} - 1 \\
x(\frac{3}{x} + 2) = (\frac{2}{x} - 1)x\\
3 + 2x = 2 - x


2) Now isolate the x by moving all terms with x onto one side and all other terms onto the other side:
3 + 2x = 2 - x\\
3x = -1

3) Finally, divide by 3 on both sides to find the value of x:
3x = -1\\
x =  \frac{-1}{3}

------

Answer: x = \frac{-1}{3}
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Without a calculator, I would first turn the mixed numbers into improper fractions.

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