[tex] \frac{2m + 1}{2} + \frac{2m + 1}{6} = 6 [/tex]
[tex]2m + 1 = 9[/tex]
a. benar
b. salah
[tex]\begin{aligned}&\textsf{Jika\ \:$\frac{2m + 1}{2} + \frac{2m + 1}{6} = 6$,}\\&\textsf{maka\ \:$2m+1=9$.}\end{aligned}[/tex]
Pernyataan tersebut adalah benar (opsi a).
Pembahasan
[tex]\begin{aligned}\vphantom{\bigg|}&\frac{2m + 1}{2} + \frac{2m + 1}{6} = 6\\\vphantom{\Big|}&\Rightarrow \textsf{Substitusi $(2m + 1)\leftarrow9$}\\\vphantom{\bigg|}&\Rightarrow \frac{9}{2} + \frac{9}{6} = 6\\\vphantom{\bigg|}&\Rightarrow \frac{9}{2} + \frac{3}{2} = 6\\\vphantom{\bigg|}&\Rightarrow \frac{9+3}{2} = 6\\\vphantom{\bigg|}&\Rightarrow \frac{12}{2} = 6\\\vphantom{\Big|}&\Rightarrow 6 = 6\implies\sf benar!\quad\blacksquare\\\end{aligned}[/tex]
Penjelasan dengan langkah-langkah:
Aljabar
.
[tex] \frac{2m + 1}{2} + \frac{2m + 1}{6} = 6[/tex]
Jika 2m + 1 = 9
.
Maka;
[tex] \frac{2m + 1}{2} + \frac{2m + 1}{6} = 6 \\ 3(2m + 1) + (2m + 1) = 36 \\ 3(9) + (9) = 36 \\ 27 + 9 = 36 \\ 36 = 36 \\ \frac{36 = 36}{6} \\ 6 = 6[/tex]
BETUL! BENAR!
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