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insens350 [35]
3 years ago
10

If4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number find the number Show your work

Mathematics
2 answers:
Oliga [24]3 years ago
7 0
x-number\\x\neq 0\\ \\
4 \cdot \frac1x=3+\frac52 \cdot \frac1x\\
\frac4x=3+\frac5{2x}\ / \cdot 2x\\
8=6x+5\\
6x=8-5\\
6x=3\ /:6\\
x=\frac36=\frac12

anyanavicka [17]3 years ago
5 0

<em>1)</em>

<em>4·1/n = 3 + 5/2n</em>

<em>²⁾4/n = ²ⁿ⁾3 + 5/2n</em>

<em>8 = 6n + 5</em>

<em>6n = 8 - 5</em>

<em>6n = 3</em>

<em>n = 3⁽²/6</em>

<em>n = 1/2</em>

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