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jeka57 [31]
4 years ago
9

3/2x - 2/3x=2

Mathematics
1 answer:
LekaFEV [45]4 years ago
3 0

Answer

x = 0  \: or \: 4.17 \times  {10}^{ - 1} ( 5 /12 )

\frac{3}{2x}  -  \frac{2}{3x}  = 2

multiplying the denominators to get the L.C.M since there is no common factor.

2x \times 3x = 6 {x}^{2}

as the L.C .M

so now the general equation becomes

\frac{ \frac{3}{2x}  -  \frac{2}{3x} }{6 {x}^{2} }  = 2

\frac{9x - 4x}{6 {x}^{2} }  = 2

5x =  6 {x}^{2}  \times 2

5x = 12 {x}^{2}

12 {x}^{2}  - 5x = 0

factorizing x

x(12x - 5) = 0

x = 0

12x - 5 = 0

12x = 5

x =  \frac{5}{12}

x = 0.416

x = 4.17 \times  {10}^{ - 1}

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