Jika 3m−5=53(m+4), nilai 2m−5 adalah ...

Pertanyaan

Jika $3m-5=\frac35\left(m+4\right)$ , nilai $2m-5$ adalah ...

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai $2m-5$ adalah $\frac76$ .

Pembahasan

Perhatikan perhitungan berikut!

$table attributes columnalign right center left columnspacing 0px end attributes row cell 3 m minus 5 end cell equals cell 3 over 5 open parentheses m plus 4 close parentheses end cell row cell open parentheses 3 m minus 5 close parentheses times 5 end cell equals cell open square brackets 3 over 5 open parentheses m plus 4 close parentheses close square brackets times 5 end cell row cell 15 m minus 25 end cell equals cell 3 m plus 12 end cell row cell 15 m minus 25 plus 25 end cell equals cell 3 m plus 12 plus 25 end cell row cell 15 m end cell equals cell 3 m plus 37 end cell row cell 15 m minus 3 m end cell equals cell 3 m plus 37 minus 3 m end cell row cell 12 m end cell equals 37 row cell fraction numerator 12 m over denominator 12 end fraction end cell equals cell 37 over 12 end cell row m equals cell 37 over 12 end cell end table$

Maka

$\begin{array}{rcl}2m-5&=&2\left(\frac{37}{12}\right)-5\\&=&\frac{37}6-5\\&=&\frac{37}6-\frac{30}6\\&=&\frac76\end{array}$

Dengan demikian, nilai $2m-5$ adalah $\frac76$ .

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