Matematika

Pertanyaan

tentukan himpunan penyelesaian dari A= 3x+5/6=8/9 b= 1/5x-2=x-1/2

1 Jawaban


  • [tex]a. \\ \frac{3x + 5}{6} = \frac{8}{9} \\ 9(3x + 5) = 6 \times 8 \\ 27x + 45 = 48 \\ 27x = 48 - 45 \\ x = \frac{3}{27} \\ x = \frac{1}{9} \\ \\ b. \\ \frac{1}{5x - 2} = \frac{x - 1}{2} \\ 2 = (x - 1)(5x - 2) \\ 2 = 5 {x}^{2} - 7x + 2 \\ {5x}^{2} - 7x + 2 - 2 = 0 \\ {5x}^{2} - 7x = 0 \\ x(5x - 7) = 0 \\ x = 0 \: atau \: x = \frac{7}{5} [/tex]

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