Jika 42n−3=22n−3+34n−2, nilai 22n adalah ...

Pertanyaan

Jika $fraction numerator 2 n minus 3 over denominator 4 end fraction equals fraction numerator 2 n minus 3 over denominator 2 end fraction plus fraction numerator 4 n minus 2 over denominator 3 end fraction$ , nilai $22n$ adalah ...

14 $\;$
15 $\;$
16 $\;$
17 $\;$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Perhatikan perhitungan berikut!

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 n minus 3 over denominator 4 end fraction end cell equals cell fraction numerator 2 n minus 3 over denominator 2 end fraction plus fraction numerator 4 n minus 2 over denominator 3 end fraction end cell row cell fraction numerator 2 n minus 3 over denominator 4 end fraction end cell equals cell fraction numerator 3 open parentheses 2 n minus 3 close parentheses plus 2 open parentheses 4 n minus 2 close parentheses over denominator 2 cross times 3 end fraction end cell row cell fraction numerator 2 n minus 3 over denominator 4 end fraction end cell equals cell fraction numerator 6 n minus 9 plus 8 n minus 4 over denominator 6 end fraction end cell row cell fraction numerator 2 n minus 3 over denominator 4 end fraction end cell equals cell fraction numerator 14 n minus 13 over denominator 6 end fraction end cell row cell open parentheses fraction numerator 2 n minus 3 over denominator 4 end fraction close parentheses cross times 12 end cell equals cell open parentheses fraction numerator 14 n minus 13 over denominator 6 end fraction close parentheses cross times 12 end cell row cell 3 open parentheses 2 n minus 3 close parentheses end cell equals cell 2 open parentheses 14 n minus 13 close parentheses end cell row cell 6 n minus 9 end cell equals cell 28 n minus 26 end cell row cell 6 n minus 9 minus 28 n end cell equals cell 28 n minus 26 minus 28 n end cell row cell negative 22 n minus 9 end cell equals cell negative 26 end cell row cell negative 22 n minus 9 plus 9 end cell equals cell negative 26 plus 9 end cell row cell negative 22 n end cell equals cell negative 17 end cell row cell 22 n end cell equals 17 end table$

Oleh karena itu, jawaban yang benar adalah D.